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Factoring Activities

Categories Quadratics , Factoring Polynomials

Looking for engaging factoring activities for your Algebra 1 or Algebra 2 students? Check out these creative and hands-on factoring games and puzzles that will help make factoring fun!

fun factoring activities for algebra

Activities to Motivate and Prepare Students for Factoring

Looking to introduce students to the concept of factoring quadratics? This collection of activities will help students discover patterns and gain fluency with factoring.

X Puzzles Factoring Review Game

example of x puzzles factoring review game

I love using X Puzzles to introduce factoring trinomials. These puzzles are also known as sum and product puzzles since the goal of the puzzle is to find the two numbers that have a given sum and product.

ZERO Game to Introduce Factoring Quadratics

zero factoring quadratics game

Created by Shaun Carter, the ZERO Game helps to motivate why it is important to be able to factor quadratics. I presented this as a “game day” after we had talked about vertex form of quadratics and standard form of quadratics and BEFORE we started factoring quadratics the next day. It was PERFECT!

Looking for Patterns in Factoring Trinomials

magnifying glass with hat on with text around it: looking for patterns factoring trinomials

I always have my Algebra 1 students look for patterns before we begin factoring polynomials. Check out a printable page I give them to glue in their interactive notebooks as a reference.

Activities for Practicing Factoring

Check out these hands-on activities to get students practice factoring polynomials! As an added bonus, many of these factoring quadratics activities are self-checking.

Factoring Trinomials Question Stack Activity

photograph of parabola with text

Question stacks are one of my favorite self-checking activities. This particular activity can be used both to practice multiplying binomials and factoring quadratics.

Factoring Trinomials with GCFs Question Stack Activity

photograph of binder open to page of notebook paper with text

This self-checking factoring question stack activity is similar to the one shared above, but this one requires students to sometimes factor out the GCF of the expression before factoring.

Factoring Quadratics Activity a=1

factoring quadratics activity a=1

I used this factoring quadratics matching activity to help my students review factoring monic quadratics (when a = 1) before moving on to factoring non-monic quadratics.

Puzzles Involving Factoring

These creative puzzles require students to know how to factor quadratics in order to solve the puzzles. I love using puzzles like this in my classroom because students end up factoring way more polynomials than they think they will in the process of solving the puzzle.

Factoring Puzzle with Movable Tiles

factoring quadratic trinomials puzzle for practicing factoring polynomials with movable pieces

In this Open Middle Style factoring puzzle, students are challenged to use the digits 0-9 to fill in the squares. Each digit can be used only once.

Shared Factors Puzzle

Shared Factors Quadratics Puzzle by mathequalslove

Can you fill in the missing blanks so that each side of the square shares a factor with each of its neighboring sides?

Quadratic Area Puzzles

quadratic area puzzles

Solving these quadratic area puzzles (inspired by Naoki Inaba) will require lots of factoring practice!

Factoring Polynomials Square Puzzle Activity

factoring polynomials square puzzle activity with math background

This factoring polynomials square puzzle shared by Public Schools of North Carolina in their Resources for Algebra Blackline Masters collection is a great way to give students lots of practice with factoring quadratics!

This type of puzzle is also known as a tarsia puzzle.

Factoring Graphic Organizers and Foldables

  • Factoring Quadratics Using the Box Method Directions
  • Factoring Quadratics Using the Box Method Foldable
  • Factoring Quadratics Foldable
  • Factoring Quadratics Graphic Organizers
  • Factoring Flow Chart

More Resources for Teaching Quadratics

factoring fun worksheet


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Factoring Worksheets

Factoring and prime factors worksheets.

Our factoring worksheets cover factors, prime factors, greatest common factors (GCFs) and least common multiples (LCMs).  Worksheets of varying difficulty are provided.

Choose your grade / topic:

Grade 4 factoring worksheets

  • Find the factors of numbers between 4 and 50
  • Find the factors of numbers between 4 and 100
  • Prime factors & prime factor trees
  • Divisibility rules
  • Multiples of whole numbers

Grade 5 factoring worksheets

  • Factoring numbers to prime factors (up to 100, 500)
  • List all the factors of numbers up to 100
  • Prime factor trees
  • More divisibility rules.
  • Greatest common factor (GCF) of 2 numbers (1-50, 1-100)
  • Lowest common multiple (LCM) of 2 numbers 2-30
  • GCF and LCM word problems

Grade 6 factoring worksheets

  • Factor numbers up to 500 to prime factors
  • Greatest common factor (GCF) of 2 numbers up to 100
  • Greatest common factor (GCF) of 3 numbers up to 100
  • Least common multiple (LCM) of 2 numbers up to 50
  • Least common multiple (LCM) of 3 numbers up to 30

Related topics

  • Multiplication worksheets
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factoring fun worksheet

Sample Factoring Worksheet

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Factoring in Algebra

Numbers have factors :

And expressions (like x 2 +4x+3 ) also have factors:

Factoring (called " Factorising " in the UK) is the process of finding the factors :

Factoring: Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Example: factor 2y+6

Both 2y and 6 have a common factor of 2:

So we can factor the whole expression into:

2y+6 = 2(y+3)

So 2y+6 has been "factored into" 2 and y+3

Factoring is also the opposite of Expanding :

Common Factor

In the previous example we saw that 2y and 6 had a common factor of 2

But to do the job properly we need the highest common factor , including any variables

Example: factor 3y 2 +12y

Firstly, 3 and 12 have a common factor of 3 .

So we could have:

3y 2 +12y = 3(y 2 +4y)

But we can do better!

3y 2 and 12y also share the variable y .

Together that makes 3y :

  • 3y 2 is 3y × y
  • 12y is 3y × 4

3y 2 +12y = 3y(y+4)

Check: 3y(y+4) = 3y × y + 3y × 4 = 3y 2 +12y

More Complicated Factoring

Factoring can be hard .

The examples have been simple so far, but factoring can be very tricky.

Because we have to figure what got multiplied to produce the expression we are given!

Experience Helps

With more experience factoring becomes easier.

Example: Factor 4x 2 − 9

Hmmm... there don't seem to be any common factors.

But knowing the Special Binomial Products gives us a clue called the "difference of squares" :

Because 4x 2 is (2x) 2 , and 9 is (3) 2 ,

So we have:

4x 2 − 9 = (2x) 2 − (3) 2

And that can be produced by the difference of squares formula:

(a+b)(a−b) = a 2 − b 2

Where a is 2x, and b is 3.

So let us try doing that:

(2x+3)(2x−3) = (2x) 2 − (3) 2 = 4x 2 − 9

So the factors of 4x 2 − 9 are (2x+3) and (2x−3) :

Answer: 4x 2 − 9 = (2x+3)(2x−3)

How can you learn to do that? By getting lots of practice, and knowing "Identities"!

Remember these Identities

Here is a list of common "Identities" (including the "difference of squares" used above).

It is worth remembering these, as they can make factoring easier.

There are many more like those, but those are the most useful ones.

The factored form is usually best.

When trying to factor, follow these steps:

  • "Factor out" any common terms
  • See if it fits any of the identities, plus any more you may know
  • Keep going till you can't factor any more

There are also Computer Algebra Systems (called "CAS") such as Axiom, Derive, Macsyma, Maple, Mathematica, MuPAD, Reduce and others that can do factoring.

More Examples

Experience does help, so here are more examples to help you on the way:

Example: w 4 − 16

An exponent of 4? Maybe we could try an exponent of 2:

w 4 − 16 = (w 2 ) 2 − 4 2

Yes, it is the difference of squares

w 4 − 16 = (w 2 + 4)(w 2 − 4)

And "(w 2 − 4)" is another difference of squares

w 4 − 16 = (w 2 + 4)(w+ 2)(w− 2)

That is as far as I can go (unless I use imaginary numbers)

Example: 3u 4 − 24uv 3

Remove common factor "3u":

3u 4 − 24uv 3 = 3u(u 3 − 8v 3 )

Then a difference of cubes:

3u 4 − 24uv 3 = 3u(u 3 − (2v) 3 )

= 3u(u−2v)(u 2 +2uv+4v 2 )

That is as far as I can go.

Example: z 3 − z 2 − 9z + 9

Try factoring the first two and second two separately:

z 2 (z−1) − 9(z−1)

Wow, (z-1) is on both, so let us use that:

(z 2 −9)(z−1)

And z 2 −9 is a difference of squares


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Middle School and High School Factoring Worksheets

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></center></p><h2>Middle School and High School Factoring Worksheets</h2><p>Math Worksheets / Algebra Worksheets / Middle School and High School Factoring Worksheets</p><p>Our factoring worksheets are designed to help students conquer all types of equations. From expanding the brackets to factoring quadratics , our factorizing expressions worksheets are all clearly presented and easy to follow. We have factor math worksheets suitable for all abilities, and they are all supplied with answers to assess how well your child or pupil is doing, and highlight areas for revision.</p><p>We have a wealth of resources to improve students’ confidence in answering all types of expanding and factoring math questions. Algebra is unavoidable at school so make it enjoyable by using our factorizing quadratics worksheets!</p><h2>Printable Factorising Maths Worksheets For Kids</h2><p>Use our factoring worksheets cover all sorts of factoring and expanding, from multiplying a constant by a binomial to factoring out the common factor to factoring quadratic expressions .</p><p>At Cazoom Math, our worksheets cover all types of factoring problems that students will come across during their time at school, and present this important information in a clear and engaging way. Take the fear out of factoring with our factoring worksheets!</p><h2>The Benefits of Learning How to Factor</h2><p>Factoring is a method that is useful for middle school students through college students and beyond.</p><p>Factoring can often be a stumbling block for students as they will need to apply this skill to many other topics in Algebra, such as solving and graphing quadratic equations, factoring trinomials and other. Learning how to expand expressions and factor expressions of all types is an essential skill, and although students might complain that they will never need this information, what they don’t realize is that factoring is very important and useful.</p><h2>Preparation for Precalculus and Beyond</h2><p>Learning how to factor expressions will help prepare students for all math courses that follow, as this is a skill that appears in Trigonometry, Precalculus, Calculus , and beyond.</p><p>If students wish to study math or science at the university level, factoring is an essential skill. Using clearly presented math worksheets will help familiarize students with the types of questions they will come across and enable them to feel confident when approaching factoring in their further studies.</p><h2>Factoring in the Real World</h2><p>People who work in the science, engineering, or technology fields will use their algebra knowledge and factoring skills every day.</p><p><center><img style=


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Free Printable Factoring worksheets

Factoring math worksheets for teachers to help students discover and master the essential skill of factoring numbers and expressions. Download and print these free resources for a comprehensive learning experience.


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Explore printable Factoring worksheets

Factoring worksheets are an essential tool for teachers who want to help their students excel in math. These worksheets provide a structured and organized way for students to practice and master the skill of factoring, which is crucial for success in higher-level math courses. Teachers can use factoring worksheets to reinforce classroom lessons, provide additional practice for struggling students, or as a homework assignment to solidify understanding. With a variety of grade-appropriate factoring worksheets available, teachers can easily find the perfect resource to meet the needs of their diverse group of learners. By incorporating factoring worksheets into their math curriculum, teachers can ensure that their students are well-prepared for future mathematical challenges.

Quizizz is an innovative platform that offers a wide range of resources for teachers, including factoring worksheets, math quizzes, and interactive games. This platform allows teachers to create engaging and personalized learning experiences for their students, helping them to develop a deeper understanding of mathematical concepts. In addition to factoring worksheets, Quizizz offers a vast library of math quizzes that cover various topics and grade levels, making it easy for teachers to find the perfect resource for their classroom. Teachers can also take advantage of Quizizz's gamified learning experience, which motivates students to learn and practice math in a fun and interactive way. By incorporating Quizizz into their teaching toolkit, educators can provide their students with a well-rounded and enjoyable approach to learning math.

factoring fun worksheet

Home / United States / Math Classes / Worksheets / Factoring Worksheets

Factoring Worksheets

Factoring a number or an expression is an important concept in mathematics.  A sound knowledge of factors and multiples of a number serves as a building block for students to arrange items or make groups in different ways. A firm grip of factors and methods to determine factors can help a student solve multi-step problems based on simplification using multiplication and division operations. However, math is not about memorizing. For real life scenario-based problems, students need a clear understanding of factors and multiples to model the scenario in the form of an equation form. These factoring worksheets can be highly beneficial in helping them understand when and how to apply these concepts. ...Read More Read Less

Benefits of Factoring Worksheets

Factoring worksheets help students get a grip on the concept of factors and multiples of a number. A strong understanding of the concept of factoring serves as a stepping stone for students to understand patterns in numbers, concept of prime factors and determine greatest common factors (G.C.F.) and lowest common multiple (L.C.M.). 

The factoring worksheets engage students with a wide range of problems on all aspects of factors and multiples and assist their learning process in a number of ways, like:

  • Reasoning and Problem Solving : These worksheets present an array of problems based on factors and multiples of a number and real life scenarios. Solving such problems requires quick reasoning and an ability to model real life situations in equation form to arrive at the correct answer. Hence, worksheets on factoring help in enhancing logical thinking, automatic recall of factors and multiples and boost confidence in students. 
  • Supporting  in depth learning : Factoring worksheets form an integral part of the learning process as they provide an enriched platform for learning, revision and improvement.

Exposure to varied worksheets spread across levels ranging from easy to hard, enhance a student’s understanding about when and where to apply facts and sophisticated strategies to factorize a number or to determine its multiples.

  • Interactive Worksheets make factoring interesting : For a subject like math, solving multiple problems at a time can tone down a student's interest in the topic at hand. The interactive feature of BYJU’S Math online worksheets on factoring enhances a student’s interest in Math and makes solving problems on factoring a fun activity.

Precision and Time Management : Precision of answers and speed are important factors in learning to solve any mathematical problem. Practicing problems using these worksheets assists students in managing their time in a better way and enhances their speed in solving problems. Regular practice will also help students identify the topics where they need more practice or conceptual understanding.

  • Interactive Worksheets
  • Printable Worksheets


Choose Math Worksheets by Grade

Choose math worksheets by topic, factoring worksheets explained.

Factoring worksheets are prepared in such a way that regular practice of the worksheet problems will strengthen a student’s foundation of understanding factors and multiples. The ideal blend of different types of factoring problems in these worksheets help students not only improve their problem solving skills but also get a stronger grasp of concepts. 

Factoring worksheets are mapped out with a variety of problems ranging from easy to medium to hard difficulty levels. Factors and prime factors of a number can be determined using a factor tree. Factor pairs can be obtained using divisibility rules. Factoring of numbers, in real life, helps in arranging a certain number of items in smaller groups of equal size. These worksheets present problems in a way that helps explain each factoring concept in a straightforward way. 

The problems in each worksheet are based on the following aspects of factoring a number:

  • Factors using an area model
  • Factor pairs using division and divisibility rules
  • Factors and multiples
  • Prime factors and prime factorization
  • Prime and composite numbers
  • Patterns in products
  • Twin prime numbers
  • Number and shape patterns
  • Greatest common factor (G.C.F)
  • Least common multiple (L.C.M.)
  • Factoring expressions

The problems also present real life situations that can be solved by modeling them in an equation format using factors and multiples.

If you feel the need to revisit your understanding of the concept click on the following links-

  • Finding factor pairs using divisibility rule
  • Identify prime and composite numbers
  • Number & shape patterns related to factors and multiples
  • Greatest Common Factor
  • Least Common Multiple
  • Factoring Expressions
  • Prime-Numbers-From-1-To-1000
  • Factors-Of-150

Interactive and Printable Factoring Worksheets

Students now have the ability to solve the worksheets online by clicking on interactive factoring worksheets . These interactive worksheets are designed to be solved in an online mode and are timed. This helps enhance a student’s ability to quickly solve problems. Additionally, once the answers are submitted, the students can view the solution to each problem instantly, which helps them identify gaps in their understanding of the concept, in case of incorrect answers. These solutions may sometimes also give the students an alternate and quicker approach to solving problems. They can also click on the printable worksheet to download the PDF version of worksheets on factoring and solve problems at their convenience. Worksheets are aligned with the common core concepts to help supplement the concepts learnt in the classroom. So whether a student is learning the basics of factoring or is at an advanced level of factors and multiples, BYJU’s Math worksheets help give them a foundation to succeed.

Why is it important for a student to solve problems in the factoring worksheets?

Solving factoring worksheet problems regularly helps students enhance their problem solving skills in terms of both speed and accuracy. Regular use of worksheets also helps them identify gaps in their understanding of the concept.

How will the factoring worksheets help a student understand factoring concepts?

As a parent looking at these worksheets you will witness that the problems cover all methods and strategies for factoring numbers with levels ranging from easy to medium to hard. Each concept has been presented in the problems in a straightforward way to make it simple and easy for the child to understand.

How are factoring worksheets helpful in strengthening a student’s understanding of prime and composite numbers?

Numbers are categorized into prime or composite numbers based on the number of factors they have. These worksheets help students understand how to determine the factors of a number. This in turn strengthens their understanding of whether a number is classified as prime or composite based on the number of factors it has.

What is the role of factoring worksheets in learning advanced concepts in higher grades?

A sound understanding of the concept of factors and multiples helps students to quickly learn factorization of numbers. Factorization of numbers is an important skill that comes in handy in higher grades to factorize algebraic expressions and determine G.C.F. and L.C.M.

What if a student needs motivation to solve multiple problems at the same time? Can these factoring worksheets be helpful?

The interactive feature of the problems and visuals in the worksheets engage the students to keep and enhance his or her interest in solving the problems. In addition, students can also access printable worksheets by downloading the PDF version of the worksheets and solve problems at their convenience.

Which factoring worksheet should students start with when solving problems?

The worksheets have been created keeping in mind the difficulty level and pre-requisites of a concept. Each worksheet has been marked ‘easy’ ‘medium’ or ‘hard’ depicting the difficulty level of the problems in the respective worksheet. It is recommended that students should start with the easy levels and gradually move to medium and harder levels.

Do these factoring worksheets cover all topics on factors and multiples as per a student’s grade syllabus?

The factoring worksheets are grade specific and are designed keeping in mind the syllabus of a specific grade. The worksheets for a particular grade caters to all topics and concepts covered in the syllabus in alignment with the common core standards.

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A collection of math worksheets on finding factors, greatest common factors, and factor trees, as well as prime numbers & composite numbers.

Factors and Greatest Common Factors Worksheets

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Factoring Worksheets

Factorization is the process of finding the prime factors of a number. Knowledge on how to factorize numbers is crucial for kids to understand other mathematics concepts. Factoring numbers is helpful in several mathematical disciplines, including algebra and geometry. Brighterly’s factoring worksheet with answers is an excellent resource to speed up your child’s understanding of this topic.

Free factoring problems worksheet

Factoring entails expressing a number as the product of smaller numbers by reducing huge numbers to expressions in smaller numbers that are easy to deal with. Factoring makes solving multi-step arithmetic problems simpler.

Factors Worksheet

Factors Worksheet

Algebra 2 Factoring Worksheet

Algebra 2 Factoring Worksheet

Factoring Worksheet With Answers

Factoring Worksheet With Answers

Factoring Worksheets

Find The Factors Worksheet

Finding Factors Worksheet

Finding Factors Worksheet

Worksheets that focus on factoring help students get a more thorough knowledge of the idea and set them up for success when encountering more challenging mathematical material later on. For 4th graders and higher grade students, these worksheets will boost their factoring skills and grasp of the numerous factoring methods they have encountered in primary grades.

The factoring worksheet with answers also comprises a variety of problems on the prime factors of numbers. By working through these exercises, students may perfect their skills using the factor tree approach to establish if a given number is a composite or prime number.

The average student’s imagination is stimulated as they try to solve the challenging yet visually pleasing problems in Brighterly’s factoring problems worksheet. The G.C.F. and L.C.M.-based challenges in these worksheets can help students learn how to employ factoring to solve situations in the real world. Also, students may quickly understand multi-step arithmetic problems thanks to the information provided in the factoring worksheets.

Math for Kids

Benefits of factors worksheet

When tutors first introduce factors to kids, the topic is difficult for them to understand. Brighterly’s worksheets are the go-to tools to aid the transition from counting and basic mathematics to factors and equations. They make learning and mastering factors easier.

Learning with the algebra 2 factoring worksheet boosts the critical abilities of kids. The excellent mix of complex and easy questions, coupled with the engaging design of the worksheets, enhances kids’ logical reasoning. Also, as kids learn with these worksheets, their analytical skills will improve significantly.

Their thinking changes as kids proceed from the simplest to complex questions. These challenging questions allow kids to think outside the box. The worksheets also improve the problem-solving abilities of kids, which is crucial in everyday life.

Printable factoring worksheet PDF

Factoring worksheets pdf.

Factoring Worksheet

Factoring Practice Worksheet

Factoring Problems Worksheet

Factoring Worksheet PDF

You can download the printable version of factoring worksheets from Brighterly’s website. Kids can learn independently and repeatedly with these printable worksheets. With these materials, learning becomes more straightforward and accessible to kids.

Tutors can also use the printable factoring practice worksheet to keep their kids busy. Also, they can build competitiveness among students by dividing the class into groups and assigning the worksheets using performance and time spent as a yardstick.

More Factoring Worksheets

  • Factoring Trinomials Worksheets
  • Factoring Polynomials Worksheets
  • Solving Quadratic Equations By Factoring Worksheets
  • Factoring Quadratics Worksheets
  • Factoring By Grouping Worksheets

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Factors Worksheets

Unique factoring worksheets are available for grade 5 through high school. List out the factors, complete the prime factor tree, draw your own prime factor tree, find the GCF and LCM and explore a free number of printable worksheets on this page.

Listing Factors | Easy

Listing out the Factors

Knowing how to list out the factors is fundamental to work on the following 5th grade worksheets.

easy 1

Product Strategy

Complete the product strategy for each problem and find the factors of the number. Space is also given to write your own product strategy.

pdf 1

Completing Prime Factor Trees

Find the missing prime factors of the number and complete the prime factor tree in these pdfs for grade 5 and grade 6. The easy level has numbers up to 50 and the moderate level has numbers up to 100.

worksheet 1

Drawing Prime Factor Trees

Draw your own prime factor tree for each number with the help of branching factors.

exercise 1

Prime Factorization

Prime factorization or prime decomposition is to find the factors, which multiply together to give the original number.

Multiple Responses | Easy

Multiple Responses

Each factoring pdf worksheet has eight questions. Select multiple responses from each objective question.

exercise 4

Multiple Choice Questions

Multiple-choice questions are based on finding the factors in the worksheets. The easy level restricts numbers up to 50. The moderate level has up to 100.

printable 4

GCF Worksheets

Printable worksheets on the greatest common factors of whole numbers and polynomials are presented on this page 6th grade, 7th grade, and 8th grade students. Levels from easy to difficult are discussed.

(48 Worksheets)

LCM Worksheets

LCM Worksheets

A huge collection of least common multiple worksheets is available on this page. Find the LCM of whole numbers and polynomials.

(19 Worksheets)

Factoring Polynomial Worksheets

Factoring Polynomial Worksheets

Ample high school worksheets are provided on this page for factoring monomial, binomial and polynomial expressions.

(30 Worksheets)

Related Worksheets

» Multiplication

» Divisibility Rules

» Division

» Prime and Composite Numbers

» Odd and Even Numbers

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Factoring Expressions Worksheets

Factoring expressions worksheets have mathematical phrases that connect numbers , variables, and operators for showing the value of something. It represents the value of something. factoring expressions worksheets help students to be evaluated. equations can be solved and often they make two expressions equal.

Benefits of Factoring Expressions Worksheets

Factoring expressions worksheets can control the number of problems, difficulty level, range of numbers used, workspace below the problems, border around the problems, and additional instructions.

Factoring expressions worksheets come with visual simulation for students to see the problems in action, and provide a detailed step-by-step solution for students to understand the process better. Students get equipped with the problems of algebra with the help of these worksheets.

Factoring expressions worksheets are well-curated to enhance a child's learnability through interactive exercises and problems based on the order of operations. By practicing multiple problems covered in these worksheets, a child can quickly grasp both easy and complicated concepts with ease.

Download Factoring Expressions Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

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factoring fun worksheet

Math Made Easy, Grade 5 Math Workbook

This workbook has been compiled and tested by a team of math experts to increase your child's confidence, enjoyment, and success at school. Fifth Grade: Provides practice at all the major topics for Grade 5 with emphasis on addition and subtraction of fractions and decimals. Includes a review of Grade 4 topics.

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13 Fabulous Activities That Focus On Factoring Quadratics 

April 2, 2023 //  by  Laura Spry

Factoring quadratics is a major math topic and is essential for solving quadratic equations and simplifying complicated expressions. This important learning area is also vital if students wish to pursue further studies in physics, engineering, and finance. Finding engaging ways to include factoring quadratics in your class activities can be a daunting task. We have found 13 fun factoring quadratic activities that will get your class excited. Let’s take a look.

1. Factoring Trinomials Brochures

These fun brochures are a simple factoring activity that is made by simply folding a piece of paper into thirds. Ask your students to create a colorful cover and then assign the following sections inside factoring a greatest common factor, factoring a difference of squares, factoring a trinomial where a=1, factoring trinomial where a > 1, and factoring 4 terms.

Learn More: Kid Courses

2. Quadratic Chain Link Activity

This super activity will really test the factoring skills of your math students! Give each student 2 chains to complete. When these are completed, the chains can be joined together to create this chain. These look amazing on display and can be referred to throughout learning. 

Learn More: Teachers Pay Teachers

3. Factoring Puzzle Laminated Sheet

These puzzles are fantastic for checking understanding after a unit. Students must complete the factoring questions in black marker and then swap with a partner to mark them. 

Learn More: Radical 4 Math

4. Coloring Activity

This engaging activity allows students to get creative in math class! They must create a color key and color the different quadratic expressions according to their assigned color on the key. This creates a striking pattern. 

Learn More: Made by Teachers

5. Handy Box Method

This handy video takes students through the handy box factoring method that can be used when factoring quadratics. This gives students valuable factoring practice and allows them to experiment with different methods.

Learn More: Mr Cabay

6. Quadratic Card Sort

This card-sorting activity guides students through factoring polynomials with special cases. Students must factor each polynomial on the grid and work out whether it’s a perfect square trinomial, a difference of squares, or neither. Then, they must place the correct factoring card into the square.

Learn More: Maneuvering the Middle

7. Factoring Quadratics Practice Activity

Each page on this worksheet includes a set of polynomials. At the bottom of the page, there are factors for students to cut out. They must then solve each problem by finding the correct factors and gluing these down in the correct place.

Learn More: Math Geek Mama

8. Quadratics Codebreaker

This puzzle guides students through factoring and solving quadratic equations and matching them to the key; revealing the answer to a code. Students then confirm their answers by checking their code is correct. 

Learn More: Math Teacher Resources

9. Factoring Trinomials Flow Chart

This flow chart allows students to solve any quadratic trinomial. When using the chart as a reference sheet, they should ease through any difficult factoring questions. Firstly, model the chart on your whiteboard. Students can then create their own flow chart in their books; adding their own colors and detail as they wish. 

Learn More: Math by the Mountain

10. Pre-Factoring Puzzles

In this factoring puzzle workbook, students can gain lots of factoring practice as they fill in the missing numbers. These use the same thought process as factoring quadratic equations. 

Learn More: Amazon

11. Pre-Factoring Activity

In this activity, students practice some of the prerequisite skills needed for factoring quadratics. Students must match 2 binomials to each quadratic;  placing them in the correct places on the board.

Learn More: Square Root of One Negative One Teach Math

12. Polynomials Foldable

Factoring quadratics can be a tricky skill for students to master. Factoring foldable allows students to work through questions at their own pace and keep them glued in their workbooks to refer back to if needed.

Learn More: Stat Teacher

13. Matching by Factoring

On a whiteboard or large poster board, create several expressions you wish to have factored. Next, on index cards, write the factored form of the expressions plus some that are not included on the sheet. Students must then match the factored expressions with the correct original expression.

Learn More: Hands-on Math

factoring fun worksheet

Free Math Worksheets – Math Fun Worksheets

Free Online Math Worksheets and Activities

Determining Factors and Multiples worksheets

Home >  Numbers and Operation > Factors and multiples


We have numerous factors and multiples worksheets for elementary level. Factors and multiples go hand in hand but these concepts are different. Let’s get to know factors and multiples and the difference between them. 

Consider the number 8. All the numbers which divide 8 completely without leaving any remainder are factors of 8. 1, 2, 4, and 8 divide 8 completely leaving no remainder. So the factors of 8 are 1, 2, 4, and 8.  Note : 1, and 8 are common factors. Thus, all the numbers have 1 and the number itself as common multiples. 

factoring fun worksheet

We have learnt everything about factors and multiples. It’s time to take practice problems. The below given worksheets are for complete practice. The word problems given here help your kids to think and understand more about these concepts.


Factors and factor pairs.

  • Factors and Prime factors

Factor Tree

  • Factors on Venn diagram

Multiples of Numbers

Multiples and factors.

  • What number am I?

Multiples and Factors - MCQ

Factors and Multiples Worksheets

  • Worksheet #1
  • Worksheet #2
  • Worksheet #3

factors and multiples worksheet

Factors and Prime Factors

factors and multiples worksheet

Factors on Venn Diagram

factors and multiples worksheet

What Number am I?

factors and multiples worksheet


Adobe reader is required to download all the pdf files. if adobe reader is not installed in your computer, you may download it here for free: adobe reader download., copyright © 2019. mathfunworksheets. all reserved.

Helping with Math

Helping with Math

Note: this page contains legacy resources that are no longer supported. You are free to continue using these materials but we can only support our current worksheets , available as part of our membership offering .

Factor Game

Related resources.

The resources listed below are aligned to the same standard, (4OA04) re: Common Core Standards For Mathematics as the Factors and multiples game shown above.

Find all factor pairs for a whole number in the range 1 to 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1 to 100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1 to 100 is prime or composite.

Prime Numbers

  • Prime Numbers to 100 ( Number Square)
  • List of Prime Numbers – (up to 251)


  • What Factors Are
  • Lesson on Factors
  • Lesson on Multiples
  • Finding Prime & Composite Numbers
  • Prime Factorization With Factor Trees
  • Prime or Composite Game (Alternate Version)
  • Play Prime or Composite

Target Game

Number line.

  • Skip Counting – By 2, 3, 4, 5, & 6 (small marks at 1s, large marks at intervals and no numbers)
  • Skip Counting – By 7, 8, 9, 11, & 12 (small marks at 1s, large marks at intervals and no numbers)
  • Skip Counting – By 11 (small marks at 1s, large marks every 11 and no numbers)
  • Skip Counting – By 12 (small marks at 1s, large marks every 12 and no numbers)
  • Factors (3-page worksheet. Includes Guided Practice)
  • Factors (Prime & Composite Numbers) (3-page worksheet. Includes Guided Practice)
  • Multiples (2-page worksheet. Includes Guided Practice)
  • Division & Multiples (2-page worksheet. Includes Guided Practice)
  • Finding Factors (1 of 2)
  • Finding Factors (2 of 2)
  • Factors – Prime & Composite Numbers (1 of 2)
  • Factors – Prime & Composite Numbers (2 of 2)

This resource is available for re-use under a Creative Commons Attribution 4.0 International License . More details and source files here


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  1. 15 Fun Factoring Activities for Algebra

    Shared Factors Puzzle Can you fill in the missing blanks so that each side of the square shares a factor with each of its neighboring sides? Quadratic Area Puzzles Solving these quadratic area puzzles (inspired by Naoki Inaba) will require lots of factoring practice!

  2. Factoring Fun Worksheet Teaching Resources

    factoring fun worksheet 10,000+ results Sort: Relevance View: Similar Shapes & Scale Factor Fun Worksheet! by MathNerd 5.0 (29) $1.50 PDF **Now includes a key** This worksheet reviews similar shapes and scale factor with shapes on a grid. You will need something to color with! Thanks for looking! Subjects: Geometry, Math Grades: 6th - 9th Types:

  3. Factoring Worksheets

    Factoring worksheets for kids in grades 4 to 6. Learn how to factor numbers, find prime factors, greatest common factors and least common multiples. Choose your grade and topic to access free math worksheets.

  4. Factoring in Algebra

    Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions. Example: factor 2y+6 Both 2y and 6 have a common factor of 2: 2y is 2×y 6 is 2×3 So we can factor the whole expression into: 2y+6 = 2 (y+3) So 2y+6 has been "factored into" 2 and y+3

  5. Algebra Fun Sheets: The Creative, Fun Algebra Worksheets

    Algebra worksheets to improve student performance through fun riddles, activities and games. Over 300 Algebra worksheets and growing! Printable in convenient PDF format.

  6. Middle School and High School Factoring Worksheets

    Printable factoring worksheets for teachers and kids. Each math worksheet is visual, differentiated and fun. All worksheets are Common Core aligned. Includes a range of useful free teaching resources

  7. Factor Worksheets

    Our free factors worksheets provide students with an easy way to practice and master the concept of factoring numbers. With these worksheets, students can practice finding two or more numbers' greatest common factor (GCF), calculating prime factorization, and more.

  8. Factoring Polynomials Worksheets

    Included here are factoring worksheets to factorize linear expressions, quadratic expressions, monomials, binomials and polynomials using a variety of methods like grouping, synthetic division and box method. These factoring polynomials worksheet pdfs with answer keys offer high school students immense practice.

  9. 50+ Factoring worksheets on Quizizz

    Factoring math worksheets for teachers to help students discover and master the essential skill of factoring numbers and expressions. Download and print these free resources for a comprehensive learning experience. Factoring Factoring 11 Q 9th - 11th Factoring 10 Q 9th - 12th Factoring 20 Q 9th - 12th Factoring 12 Q 9th - 12th Factoring 20 Q

  10. Factoring Worksheets , Free Simple Printable

    Factoring Worksheets Factoring a number or an expression is an important concept in mathematics. A sound knowledge of factors and multiples ...Read More Select your child's grade in school: Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Schedule a free class Benefits of Factoring Worksheets

  11. Factors

    Factors A collection of math worksheets on finding factors, greatest common factors, and factor trees, as well as prime numbers & composite numbers. Factors Finding Factors FREE List all of the factors for the given numbers. 3rd through 5th Grades View PDF Factors on Venns Sort factors of numbers on Venn diagrams. 3rd through 5th Grades View PDF

  12. PDF Factoring Practice

    Factoring Practice I. Greatest Common Factor (GCF) Find the GCF of the numbers. 18, 30 6 = GCF 12, 18 10, 35 8, 30 16, 24 II. 5. 28, 49 6. 27, 63 7. 30, 45 8. 48, 72 Greatest Common Monomial Factor Factor, write prime if prime. III. 8. 9. 10. 11. 12. 13. 14. Factoring the Difference of Two Squares % % % %

  13. FREE Printable Factoring Worksheets With Answers [PDFs]

    Brighterly's worksheets are the go-to tools to aid the transition from counting and basic mathematics to factors and equations. They make learning and mastering factors easier. Learning with the algebra 2 factoring worksheet boosts the critical abilities of kids. The excellent mix of complex and easy questions, coupled with the engaging ...

  14. Factors Worksheets

    Factors Worksheets Unique factoring worksheets are available for grade 5 through high school. List out the factors, complete the prime factor tree, draw your own prime factor tree, find the GCF and LCM and explore a free number of printable worksheets on this page. Listing out the Factors

  15. Factoring By Grouping Fun Worksheet Teaching Resources

    15. $1.00. PDF. Great group worksheet. This is a more challenging activity after students have a good understanding of factoring. Students need to help the squirrel down the factor tree by factoring each polynomial. The squirrel can move to an adjacent polynomial if they have a common factor. It's a fun practice activity.

  16. Online games for prime factorization, factors, GCF, and LCM

    Eat factors, multiples, and prime numbers in this remake of the classic game. A self-teaching worktext for 5th grade that covers multi-digit multiplication, long division, problem solving, simple equations, ratios, divisibility, and factoring. Available as a download ($7.40) and also as a printed copy.

  17. Factoring Expressions Worksheets

    Factoring Expressions Worksheets - Worksheets aid in improving the problem-solving skills of students in turn guiding the kids to learn and understand the patterns as well as the logic of math faster. Access the best math worksheets at Cuemath for free.

  18. Division: Factor Fun

    Multiplication and Division. 1 game. 6 online exercises. Download all ( 5) One way to tackle division is to turn it into multiplication. In this exercise, read the division question — then ask yourself a multiplication question! Download to complete online or as a printable!

  19. Free worksheets for prime factorization / find factors of a number

    Factoring Worksheet Generator. Columns: Rows: (These determine the number of problems) List all the factors of the given number; range from to. Easy factoring: numbers within 4-100. Medium factoring: numbers within 4-200. Custom factoring: numbers from to. Extra vertical space below the problems: lines. Font: Font Size:

  20. 13 Fabulous Activities That Focus On Factoring Quadratics

    Factoring Puzzle Laminated Sheet These puzzles are fantastic for checking understanding after a unit. Students must complete the factoring questions in black marker and then swap with a partner to mark them. Learn More: Radical 4 Math 4. Coloring Activity This engaging activity allows students to get creative in math class!

  21. Grade 10 Math Unit 3

    Free lessons, worksheets, and video tutorials for students and teachers. Topics in this unit include: multiplying polynomials (FOIL), common factoring, factoring quadratics, sum and product factoring, factoring by grouping, and special products including difference of squares and perfect square trinomials. This follows chapter 5 of the ...

  22. Factors and Multiples Worksheets- Math Fun Worksheets

    Factors: Consider the number 8. All the numbers which divide 8 completely without leaving any remainder are factors of 8. 1, 2, 4, and 8 divide 8 completely leaving no remainder. So the factors of 8 are 1, 2, 4, and 8. Note: 1, and 8 are common factors. Thus, all the numbers have 1 and the number itself as common multiples.

  23. Factor Game

    The resources listed below are aligned to the same standard, (4OA04) re: Common Core Standards For Mathematics as the Factors and multiples game shown above. Find all factor pairs for a whole number in the range 1 to 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1 to ...