Practice and Study Page
Divisibility Rules are algorithms that were invented to make your "math" life easier!
Mastery the divisibility rules will help you greatly with fractions!
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Rules that you will use daily! |
Rules the State loves to test! |
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2, 3, 5 and 7 |
4, 6 and 9 |
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Return to the Daily Lesson Page
Print the Divisibility Rules Worksheet or try the Free Workbook! |
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Divisibility Rule for 2
- When the last digit in a number is 0, 2, 4, 6, or 8, the number is divisible by 2
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Divisibility Rule for 3
- When the sum of the digits is a multiple of 3, the number is divisible by 3
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Divisibility Rule for 4
- When the last 2 digits in a number are a multiple of 4, the number is divisible by 4
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Divisibility Rule for 5
- When the last digit in a number is 0 or 5, the number is divisible by 5
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Divisibility Rule for 6
- When a number is divisible by 2 and 3, the number is divisible by 6
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Divisibility Rule for 7
- Double the last digit in a number and subtract it from the rest of the number.
If the result is a known multiple of 7, then the number is divisible by 7.
If the result is not known, repeat the rule with the new number!
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Divisibility Rule for 8
- When the last 3 digits in a number are a multiple of 8, the number is divisible by 8
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Divisibility Rule for 9
- When the sum of the digits is a multiple of 9, the number is divisible by 9
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Divisibility Rule for 10
- When the last digit in a number is 0, the number is divisible by 10
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Divisibility Rule for 11
- When the sum of the odd digits is equal to
(or 11 more than) the sum of the even digits, the number is divisible by 11
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Divisibility Rule for 12
- When a number is divisible by 3 and 4, the number is divisible by 12
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Make up your own rules!
- To create a divisibility rule, apply the rule for one of its
odd factors and the matching even factor!
You may also use 2 odd factors if one of the odd factors is prime!
- Example: An odd factor of 24 is 3, so the divisibility rule for 24 would be when a number is divisible by 3
and 8!
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