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If it is a multiple of 4.

To check if a number is divisible by 4, first it must be even (end in one of the digits 0, 2, 4, 6, 8). Then add twice the tens digit to the ones digit; if this sum is divisible by 4 then so is the original number.

As the test can be applied to the sum, repeat the summing until a single digit remains; if this digit is 4 or 8 then the original number is divisible by 4.

eg 123456789 is not divisible by 4 as it is odd (ends in one of the digits 1, 3, 5, 7, 9).

eg 123456798: 2x9 + 8 = 26; 2x2 + 6 = 10; 2x1 + 0 = 2 which is not 4 nor 8, so 123456798 is not divisible by 4.

eg 123987564: 2x6 + 4 = 16; 2x1 + 6 = 8 which is 4 or 8, so 123876564 is divisible by 4.

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Q: How is a number divisible by 4?
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