factoring fun worksheet

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!

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

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

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

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

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

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

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

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

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!

Factoring Polynomials Square Puzzle Activity

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

Reading & Math for K-5

• Kindergarten
• Learning numbers
• Comparing numbers
• Place Value
• Roman numerals
• Subtraction
• Multiplication
• Order of operations
• Drills & practice
• Measurement
• Factoring & prime factors
• Proportions
• Shape & geometry
• Data & graphing
• Word problems
• Children's stories
• Leveled Stories
• Context clues
• Cause & effect
• Compare & contrast
• Fact vs. fiction
• Fact vs. opinion
• Main idea & details
• Story elements
• Conclusions & inferences
• Sounds & phonics
• Words & vocabulary
• Reading comprehension
• Early writing
• Numbers & counting
• Simple math
• Social skills
• Other activities
• Dolch sight words
• Fry sight words
• Multiple meaning words
• Prefixes & suffixes
• Vocabulary cards
• Other parts of speech
• Punctuation
• Capitalization
• Cursive alphabet
• Cursive letters
• Cursive letter joins
• Cursive words
• Cursive sentences
• Cursive passages
• Grammar & Writing

Breadcrumbs

• Math by topic

Download & Print Only $4.20

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
• Division worksheets

Sample Factoring Worksheet

What is K5?

K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads.

Our members helped us give away millions of worksheets last year.

We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

Join K5 to save time, skip ads and access more content. Learn More

• Forgot Password?

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

(z−3)(z+3)(z−1)

Now get some more experience:

• Algebra Resources
• The Language of Algebra
• Real Numbers
• Solving Equations
• Solving Inequalities
• Absolute Value
• Proportions and Percents
• Prob and Stats
• Linear Equations
• Data Fitting
• Systems of Equations
• Linear Inequalities
• Exponents and Monomials
• Polynomials
• Quadratic Equations
• Radical Expressions
• Rational Expressions
• End of Course Review

• Username or Email: Password: signup now | forgot password? Remember Me Username or Email: Password: signup now | forgot password? Remember Me
• Free Sheets
• Support & FAQs
• Go to UK Site

GET 30 FREE MATH WORKSHEETS!

Fill out the form below to get 30 FREE math worksheets.

Factor Worksheets

• Kindergarten

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.

Explore Worksheets by Grade

Explore worksheets by subjects.

• Social studies
• Social emotional
• Foreign language
• Reading & Writing

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.

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.

Addition (Basic)

Addition (Multi-Digit)

Algebra & Pre-Algebra

Comparing Numbers

Daily Math Review

Division (Basic)

Division (Long Division)

Hundreds Charts

Measurement

Multiplication (Basic)

Multiplication (Multi-Digit)

Order of Operations

Place Value

Probability

Skip Counting

Subtraction

Telling Time

Word Problems (Daily)

More Math Worksheets

Reading Comprehension

Reading Comprehension Gr. 1

Reading Comprehension Gr. 2

Reading Comprehension Gr. 3

Reading Comprehension Gr. 4

Reading Comprehension Gr. 5

Reading Comprehension Gr. 6

Reading & Writing

Reading Worksheets

Cause & Effect

Fact & Opinion

Fix the Sentences

Graphic Organizers

Synonyms & Antonyms

Writing Prompts

Writing Story Pictures

Writing Worksheets

More ELA Worksheets

Consonant Sounds

Vowel Sounds

Consonant Blends

Consonant Digraphs

Word Families

More Phonics Worksheets

Early Literacy

Build Sentences

Sight Word Units

Sight Words (Individual)

More Early Literacy

Punctuation

Subjects and Predicates

More Grammar Worksheets

Spelling Lists

Spelling Grade 1

Spelling Grade 2

Spelling Grade 3

Spelling Grade 4

Spelling Grade 5

More Spelling Worksheets

Chapter Books

Charlotte's Web

Magic Tree House #1

Boxcar Children

More Literacy Units

Animal (Vertebrate) Groups

Animal Articles

Butterfly Life Cycle

Electricity

Matter (Solid, Liquid, Gas)

Simple Machines

Space - Solar System

More Science Worksheets

Social Studies

Maps (Geography)

Maps (Map Skills)

More Social Studies

Thanksgiving

Christmas Worksheets

New Year's Worksheets

Winter Worksheets

More Holiday Worksheets

Puzzles & Brain Teasers

Brain Teasers

Logic:  Addition Squares

Mystery Graph Pictures

Number Detective

Lost in the USA

More Thinking Puzzles

Teacher Helpers

Teaching Tools

Award Certificates

More Teacher Helpers

Pre-K and Kindergarten

Alphabet (ABCs)

Numbers and Counting

Shapes (Basic)

More Kindergarten

Worksheet Generator

Word Search Generator

Multiple Choice Generator

Fill-in-the-Blanks Generator

More Generator Tools

Full Website Index

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

Logged in members can use the Super Teacher Worksheets filing cabinet to save their favorite worksheets.

Quickly access your most used files AND your custom generated worksheets!

Please login to your account or become a member and join our community today to utilize this helpful feature.

Factor Trees

Prime Numbers

Greatest common factor (gcf), proper factors and perfect numbers.

Worksheets in which students determine the least common multiple, or LCM, for each number set

Here you'll find resources to help students review multiples of given numbers.

Simplifying fractions, equivalent fractions, operations with fractions. Also includes adding, subtracting, multiplying, and dividing fractions.

Practice basic multiplication skills with these printable worksheets and games

Worksheet Images

PDF with answer key:

PDF no answer key:

• 1st Grade Math
• 2nd Grade Math
• 3rd Grade Math
• 4th Grade Math
• 5th Grade Math
• 6th Grade Math
• 7th Grade Math
• 8th Grade Math
• Knowledge Base

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

Algebra 2 Factoring Worksheet

Factoring Worksheet With Answers

Find The 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

Need help with Equations?

• Does your child struggle to grasp equations?
• Try studying with an online tutor.

Kid’s grade

Is your child having difficulties with understanding equations? An online tutor could provide the necessary guidance.

After School Math Programs

Related worksheets.

Reducing fractions problems are an excellent way to determine if a child can remember and recollect previously learned math concepts such as fractions and division. The more a child practices mixed fractions with worksheets, the more they improve math skills and become adept in handling advanced problems faster and accurately. Reducing Fractions to Lowest Terms […]

Fractions are an integral part of the typical 5th-grade math curriculum. At this stage, kids begin to learn about fractions and how to work with them. You’ll need to call in extra forces to ease the learning process for your child and yield results. Fortunately, our fraction worksheets 5th grade can save the day and […]

Multiplication is one of the fundamental mathematical operations that children are introduced to during their early years of schooling. Basic multiplication involves multiplying two numbers together to get a product. As a result, basic multiplication worksheets PDF are often used as teaching aids to ensure children have a strong foundation in multiplication.  This article will […]

We use cookies to help give you the best service possible. If you continue to use the website we will understand that you consent to the Terms and Conditions. These cookies are safe and secure. We will not share your history logs with third parties. Learn More

Child Login

• Kindergarten
• Number charts
• Skip Counting
• Place Value
• Number Lines
• Subtraction
• Multiplication
• Word Problems
• Comparing Numbers
• Ordering Numbers
• Odd and Even
• Prime and Composite
• Roman Numerals
• Ordinal Numbers
• In and Out Boxes
• Number System Conversions
• More Number Sense Worksheets
• Size Comparison
• Measuring Length
• Metric Unit Conversion
• Customary Unit Conversion
• Temperature
• More Measurement Worksheets
• Writing Checks
• Profit and Loss
• Simple Interest
• Compound Interest
• Tally Marks
• Mean, Median, Mode, Range
• Mean Absolute Deviation
• Stem-and-leaf Plot
• Box-and-whisker Plot
• Permutation and Combination
• Probability
• Venn Diagram
• More Statistics Worksheets
• Shapes - 2D
• Shapes - 3D
• Lines, Rays and Line Segments
• Points, Lines and Planes
• Transformation
• Quadrilateral
• Ordered Pairs
• Midpoint Formula
• Distance Formula
• Parallel, Perpendicular and Intersecting Lines
• Scale Factor
• Surface Area
• Pythagorean Theorem
• More Geometry Worksheets
• Converting between Fractions and Decimals
• Significant Figures
• Convert between Fractions, Decimals, and Percents
• Proportions
• Direct and Inverse Variation
• Order of Operations
• Squaring Numbers
• Square Roots
• Scientific Notations
• Speed, Distance, and Time
• Absolute Value
• More Pre-Algebra Worksheets
• Translating Algebraic Phrases
• Evaluating Algebraic Expressions
• Simplifying Algebraic Expressions
• Algebraic Identities
• Quadratic Equations
• Systems of Equations
• Polynomials
• Inequalities
• Sequence and Series
• Complex Numbers
• More Algebra Worksheets
• Trigonometry
• Math Workbooks
• English Language Arts
• Summer Review Packets
• Social Studies
• Holidays and Events
• Worksheets >
• Pre-Algebra >

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

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

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.

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.

Drawing Prime Factor Trees

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

Prime Factorization

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

Multiple Responses

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

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.

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

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

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

Become a Member

Membership Information

Privacy Policy

What's New?

Printing Help

Testimonial

Copyright © 2023 - Math Worksheets 4 Kids

Members have exclusive facilities to download an individual worksheet, or an entire level.

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.

• Number Charts
• Multiplication
• Long division
• Basic operations
• Telling time
• Place value
• Roman numerals
• Fractions & related
• Add, subtract, multiply,   and divide fractions
• Mixed numbers vs. fractions
• Equivalent fractions
• Prime factorization & factors
• Fraction Calculator
• Decimals & Percent
• Add, subtract, multiply,   and divide decimals
• Fractions to decimals
• Percents to decimals
• Percentage of a number
• Percent word problems
• Classify triangles
• Classify quadrilaterals
• Circle worksheets
• Area & perimeter of rectangles
• Area of triangles & polygons
• Coordinate grid, including   moves & reflections
• Volume & surface area
• Pre-algebra
• Square Roots
• Order of operations
• Scientific notation
• Proportions
• Ratio word problems
• Write expressions
• Evaluate expressions
• Simplify expressions
• Linear equations
• Linear inequalities
• Graphing & slope
• Equation calculator
• Equation editor
• Elementary Math Games
• Addition and subtraction
• Math facts practice
• The four operations
• Factoring and number theory
• Geometry topics
• Middle/High School
• Statistics & Graphs
• Probability
• Trigonometry
• Logic and proof
• For all levels
• Favorite math puzzles
• Favorite challenging puzzles
• Math in real world
• Problem solving & projects
• For gifted children
• Math history
• Math games and fun websites
• Interactive math tutorials
• Math help & online tutoring
• Assessment, review & test prep
• Online math curricula

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.

See more Math Made Easy books at Amazon

• Skip to primary navigation
• Skip to main content
• Skip to primary sidebar

Teaching Expertise

• Classroom Ideas
• Teacher’s Life
• Deals & Shopping
• Privacy Policy

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

Free Math Worksheets – Math Fun Worksheets

Free Online Math Worksheets and Activities

Determining Factors and Multiples worksheets

Home >  Numbers and Operation > Factors and multiples

COMMON FACTORS AND MULTIPLES WORKSHEETS

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. 

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.

LIST OF FACTORS AND MULTIPLES WORKSHEETS

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

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

Factors and Prime Factors

Factors on Venn Diagram

What Number am I?

PRIVACY POLICY

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

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)

Example/Guidance

• 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