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Grade 6 Factoring Worksheets Explained

Factoring in math revolves around terms like factor, multiple, factor pairs, prime factor, L.C.M. and G.C.F. Most of these terms are learned by grade 6 students in lower grades. Mathematically, factoring expresses a number as a product of smaller value numbers. The grade 6 factoring worksheets revolve around the above mentioned terms but with an increased level of complexity as the questions now become a bit more challenging as compared to lower grades. 

Factoring worksheets help deepen a student’s understanding of the concept and it prepares them for advanced and complex math topics in higher grades.

These sixth grade factoring worksheets are designed with problems covering varied aspects of factoring such as:

  • Prime factorisation - The 6th grade factoring worksheets present a host of problems on prime factorisation. Such problems can be solved by factoring the number into prime factors. Solving these problems builds a student’s ability to apply the factor tree method and determine whether a number is prime or composite. 

  • G.C.F. and L.C.M. - G.C.F. and L.C.M. based problems in these worksheets have the advantage of assisting students in the development of the knowledge to apply factoring to solve real life scenario based problems. Solving these engaging and aesthetically appealing problems in the BYJU’S Math worksheets builds creativity in students.
  • Factoring Expressions - The 6th grade factoring worksheets present varied problems on applying distributive property to factor numerical and algebraic expressions. Such problems enhance a student’s ability to identify G.C.F. of terms including variables in an algebraic expression.

If there is the need to revisit your understanding of specific concepts, you can click on the following links:

Benefits of Factoring Worksheets

6th grade factoring worksheets are designed to not only improve a student’s problem solving skills but also help build up the understanding of the topic for those who are facing challenges in grasping concepts. Each worksheet is designed with a set level of difficulty with reference to the questions, ranging from easy to hard. Let’s comprehend these difficulty levels in detail.

  • Easy - Sixth grade factoring worksheets set with an easy level build core problem solving skills in students. The problems here are more direct which require recalling facts and a basic understanding of the concept. These worksheets prepare students for complex and multi-step solution problems.
  • Medium - In the medium level, the problems in factoring worksheets for 6th grade are based on the ability of students to use the given information in the question and draw connections to arrive at the correct answer. The problem solving here will require multiple methods or arithmetic operations to make students think in multiple directions. 
  • Hard - The grade 6 factoring worksheets marked ‘Hard’ enable students to think in new ways and enhance their critical thinking skills. The students are able to relate the unknown values with the known values in a question and this lays a firm foundation for them to easily solve factor-based real life problems. 

In addition to above mentioned benefits, a regular practice of grade 6 factoring worksheets enhances a student’s problem solving skills and their ability to automatically recall facts and solve problems. With regular and consistent practice of worksheet problems, students will be able to identify gaps in their understanding of factoring concepts.

 

Printable PDFs and Online Factoring Worksheets

The printable PDF factoring worksheets for 6th grade can be solved offline once downloaded from the BYJU’S Math website. This will give students the convenience to solve the worksheet problems without any time constraints. The PDF worksheets are easy to download and work on. The online worksheets for 6th grade students are solved on the website. These worksheets are timed and will increase a student’s interest to participate in such time bound activities in the future. The students are able to get the solutions instantly in the online mode as well as share scores and invite their classmates to attempt the worksheets.

Frequently Asked Questions

BYJU’S Math worksheets help students master a wide range of mathematical concepts while gradually going over each fundamental topic in detail. Each topic is given thorough attention, enabling students to use them in a variety of real-life situations.

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.

Two or more numbers when multiplied result in the product, and this product is stated to be a multiple of the numbers. Whereas, when two or more numbers are multiplied to get a product, the numbers being multiplied are called the factors of the product.

Prime and composite numbers are defined on the basis of the number of factors. These worksheets entail a series of problems on determining factors using varied methods. Once thorough with this concept, a student can conclude whether a number is prime or composite.

Prime factorization is a process of expressing a number as a product of prime numbers. These prime numbers are then called prime factors of the original number.

The problems in factoring worksheets include questions on listing factors and multiples of numbers, L.C.M. and G.C.F., determining unknown values in an equation and word problems based on real life scenarios.