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Factors of an Integer

 6.NS.B.4
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Aligned To Common Core Standard:

Grade 6 Numbers - 6.NS.B.4

How to Determine the Factors of an Integer - Factoring an integer despite popular belief is a very easy process. To successfully do it, you need to simply break the integer into groups of numbers whose product is equal to its original number. Factors are separated using a multiplication sign. Remember, 1 is the factor for every single integer and all factors of that number can be evenly divided into that number. Examples, Let's factor the number 3 - {3 x 1 = 3} Factors of 3 are 3 and 1. Factor number 10 - Since 10 can be written as 5 x 2 x 1, the factor of the number 10 is 10, 5, 2, and 1. The number 10 can be divided into 10, 5, 2, and 1. Factor the number 18 - Number 18 can be written as 18 x1 or 9 x 2 x 1 or 6 x 3 x 1 or 3 x 3 x 2 x 1. Since 18 can be divided by 18, 9, 6, 3, 2, and 1 and then 18, 9, 6, 3, 2, and 1 are its factors. These worksheets and lessons not only show you how to find all the factors of an integer, but also what to do with them.

Printable Worksheets And Lessons




Homework Sheets

We work on common multiples, factors, and greatest factors.

  • Homework 1 - Whole numbers that can be used to form a product are factors of that product. There can be many different combinations of factors.
  • Homework 2 - Every non-zero number divides evenly into itself and 1.
  • Homework 3 - A number has factors including 3 and 4. What other number must also be a factor of the same number?



Practice Worksheets

These seem to be part brain teaser for kids. Help them organize their thoughts with these.

  • Practice 1 - If two factors have a common multiple than that number is also a factor.
  • Practice 2 - Find the greatest common factor of 15 and 25.
  • Practice 3 - Keep going until there are no other numbers that divide into evenly into your value.



Math Skill Quizzes

Remind students to read these problem carefully. The context might trip them up.

  • Quiz 1 - Find all the factors of 27.
  • Quiz 2 - A number has factors including 4 and 16. What other number must also be a factor of the same number?
  • Quiz 3 - See what you know and what you don't.