Divisibility Tests
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Divisibility Test |
Example |
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2 |
A number is divisible by 2 if the last digit is 0, 2, 4, 6 or 8. |
168 is divisible by 2 since the last digit is 8. |
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3 |
A number is divisible by 3 if the sum of the digits is divisible by 3. |
168 is divisible by 3 since the sum of the digits is 15 (1+6+8=15), and 15 is divisible by 3. |
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4 |
A number is divisible by 4 if the number formed by the last two digits is divisible by 4. |
316 is divisible by 4 since 16 is divisible by 4. |
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5 |
A number is divisible by 5 if the last digit is either 0 or 5. |
195 is divisible by 5 since the last digit is 5. |
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6 |
A number is divisible by 6 if it is divisible by 2 AND it is divisible by 3. |
168 is divisible by 6 since it is divisible by 2 AND it is divisible by 3. |
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7 |
There is no easy shortcut test for divisibility by 7. |
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8 |
A number is divisible by 8 if the number formed by the last three digits is divisible by 8. |
7,120 is divisible by 8 since 120 is divisible by 8. |
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9 |
A number is divisible by 9 if the sum of the digits is divisible by 9. |
549 is divisible by 9 since the sum of the digits is 18 (5+4+9=18), and 18 is divisible by 9. |
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10 |
A number is divisible by 10 if the last digit is 0. |
1,470 is divisible by 10 since the last digit is 0. |