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Divisibility Rules - Finding Factors


Rules for Finding Factors

1 is a factor of every number

2 is a factor of a number when the last digit of the number is even; in other words, the last digit is 0, 2, 4, 6, or 8. For example 35, 578 has 2 as a factor.

3 is a factor of a number when three is a factor of the sum of the digits in that number. Example 4221 has a factor of 3, since 4 + 2 + 2 + 1 = 9 and 3 is a factor of 9. However, 3 is not a factor of 356, since 3 + 5 + 6 =14, and 3 is not a factor of 14.

4 is a factor of a number when the last two digits of the number also have four as a factor. For instance, 5728 has 4 as a factor since 4 is a factor of 28.

5 is a factor of a number when the last digit is either 0 or 5. Example 6785 has a factor of 5.

6 is a factor of a number when two conditions are met. The last digit is even AND the sum of the digits has a factor of 3.

7 is a factor of a number when 7 is a factor of . Study carefully. Let's look at 553. Remove the last number, 3. The number becomes 55. Double 3 to get 6 . Then subtract from 55. So, 55 6 = 49. Since 7 is a factor of 49, seven is a factor of the original number 553.

8 - is a factor of a number when 8 is a factor of the number the last three digits represent. For example, 4528 has 8 as a factor because 8 is a factor of 528.

9 is a factor of a number when 9 is a factor of the sum of digits in that number. For example, 7542 has 9 as a factor because 7 + 5 + 4 + 2 = 18, and 9 is a factor of 18.

10 is a factor of a number when the last digit is 0. For example, 20 and 346,690 both have 10 as a factor.




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Content copyright © 2014 by Beverly Mackie. All rights reserved.
This content was written by Beverly Mackie. If you wish to use this content in any manner, you need written permission. Contact Beverly Mackie for details.

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