Factoring Worksheets , Free Simple Printable - BYJU'S

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 MoreRead Less

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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.

Choose Math Worksheets by Topic

Adding and Subtracting Decimal Worksheets Adding and Subtracting Fractions Worksheets Adding and Subtracting Integers Worksheets Addition and Subtraction Worksheets Addition Worksheets Algebra Worksheets Area and Perimeter Worksheets Coins Worksheets Comparing Fractions Worksheets Comparing Numbers Worksheets Convert Fractions to Decimals Worksheets Coordinate Geometry Worksheets Data Data Handling Worksheets Decimals Worksheets Dividing Decimals Worksheets Dividing Fractions Worksheets Division Worksheets Exponents Worksheets Fact Family Worksheets Factoring Worksheets Fractions and Percents Worksheets Fractions Worksheets Geometry Worksheets Graphing Worksheets Integers Worksheets Linear Equations Worksheets Measurement Worksheets Money Worksheets Multiplication Worksheets Multiplying Decimals Worksheets Multiplying Fractions Worksheets Number Worksheets Order of Operations Worksheets Percents Worksheets Place Value Math Worksheets Place Value Worksheets Pre Algebra Worksheets Probability Worksheets Ratio and Proportions Worksheets Rational and Irrational Numbers Worksheets Rounding Worksheets Scientific Notation Worksheets Solving Inequalities Worksheets Subtraction Worksheets Time Worksheets Word Problems Worksheets

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-

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.

Frequently Asked Questions

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.

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.

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.

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.

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.

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.

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.