## Factors of an Integer

#### 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

- Factor 9 Please Step-by-Step Lesson- Yes, this is just as advertised!
- Guided Lesson - We look for all the factors of a number, the greatest common factor, and a word problem.
- Guided Lesson Explanation - These can all be done in three steps.
- Practice Worksheet - Sorry, that I spent more time on working on factors.
- Matching Worksheet - A nice helping of the three core skills this standard addresses.

#### 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.