Divisibility Rules Table

  • May 2020
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A number can be divided by…. 1 2 3 4 5 6 7 8 9 10 11 A number divided by 0

A number can be divided by…. 1 2 3 4 5 6 7 8 9 10 11 A number divided by 0

If… all of the time. its last digit is even: 0, 2, 4, 6, or 8. the sum of its digits is divisible by 3. its last two digits (viewed as a two-digit number) are divisible by 4. it ends in 0 or 5. it is even and the sum of its digits is divisible by 3. the original number without the last digit minus 2x last digit, repeated until the difference is 20 or less provides an answer (difference) divisible by 7. its last 3 digits (taken together as a three-digit number) are divisible by 8. the sum of its digits is divisible by 9. it ends in 0. the result of the first digit minus the second digit plus the third digit minus the fourth digit, etc. (- + - + pattern) is divisible by 11. is always undefined.

If… all of the time. its last digit is even: 0, 2, 4, 6, or 8. the sum of its digits is divisible by 3. its last two digits (viewed as a two-digit number) are divisible by 4. it ends in 0 or 5. it is even and the sum of its digits is divisible by 3. the original number without the last digit minus 2x last digit, repeated until the difference is 20 or less provides an answer (difference) divisible by 7. its last 3 digits (taken together as a three-digit number) are divisible by 8. the sum of its digits is divisible by 9. it ends in 0. the result of the first digit minus the second digit plus the third digit minus the fourth digit, etc. (- + - + pattern) is divisible by 11. is always undefined.

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