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| A number is divisible by: | If: |
| 2 | The last digit is even (0, 2, 4, 6, or 8). |
| 3 | The sum of the digits is divisible by 3. |
| 4 | The number formed by the last two digits of the original number is divisible by 4. |
| 5 | The number ending in a 0 or a 5. |
| 6 | The number is divisible by both 2 and 3. |
| 7 | The last digit of the number is multiplied by 2 and subtracted from the rest of the number and the answer is either 0 or divisible by 7. |
| 8 | The last three digits form a number divisible by 8. |
| 9 | The sum of the digits is divisible by 9. |
| 10 | The last digit is 0 |
| 11 | You add every second digit and then subtract all other digits and the answer is zero or a multiple of 11. |
| 12 | The number is divisible by both 3 and 4. |
| 13 | You remove the last digit from the number, then subtract 9 times the deleted digit from the remaining number. If what is left is divisible by 13, then so is the original number. |
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