Home > Math Topics > Integers >

## Factors of an Integer

#### 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.