Divisibility rules
| Divisibility by \(2\) | If the number ends at \(2\), \(4\), \(6\), \(8\) or \(0\), it is divisible by \(2\). |
| Divisibility by \(3\) |
If the sum of the digits of the number are divisible by \(3\), then that number is divisible by \(3\).
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| Divisibility by \(4\) |
If a last two digits of any number are divisible by \(4\), then that number is divisible by \(4\).
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| Divisibility by \(5\) |
If a digit in the ones place of a number is \(5\) or \(0\), then it is divisible by \(5\).
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| Divisibility by \(6\) | If a number is divisible by \(2\) and \(3\), then that number is divisible by \(6\). |
| Divisibility by \(7\) |
Double the last digit of the number and then subtract it from the remaining number if the number formed is divisible by \(7\), then the number is divisible by \(7\).
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| Divisibility by \(8\) | A number is divisible by \(8\) if the number formed by its last three digits is divisible by \(8\). |
| Divisibility by \(9\) | A number is divisible by \(9\) if the sum of its digits is divisible by \(9\).
Sometimes, if the sum is large, keep adding the digits of the sum until you get a number less than \(9\) or equal to \(9\), then check divisibility.
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| Divisibility by \(10\) |
A number is divisible by \(10\), if it ends with \(0\).
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| Divisibility by \(11\) |
A number is divisible by \(11\) if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is either \(0\) or a multiple of \(11\).
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| Divisibility by \(12\) | A number is divisible by \(12\) if and only if it is divisible by \(3\) and \(4\). |
| Divisibility by \(24\) | A number is divisible by \(24\) if and only if it is divisible by \(3\) and \(8\). |