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What makes a number divisible by 18?

Updated: 8/17/2019
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14y ago

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The formal answer is that 18 goes into the number without remainder.

A simple test for divisibility by 18 is as follows:

(a) the number must be even.

(b) the sum of all the digits of the number must be divisible by 9.

(a) ensures the number is divisible by 2 and (b) that it is divisible by 9. So, together they ensure divisibility by 2*9 = 18.

Note that (b) only works with 3 and 9.

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Q: What makes a number divisible by 18?
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