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Question

What is the test of divisible of 18?

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Solution

A number that is divisible by 18 must be divisible by both 2 and 9
The inverse is also true:
A number that is divisible by both 2 and 9 must be divisible by 18
Therefore, we just have to test for both divisible by 2 and 9
If a number is divisible by 2, its last digit must be even
If a number is divisible by 9, the sum of all its digit must be a multiple of 9
If a number passes both tests, then it will surely be divisible by 18

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