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# Divisibility

You can divide 6 into equal parts of 1, 2, 3, or 6 (but not 4 or 5) because 6 is divisible by these numbers. The rules of divisibility have wide-ranging applications as an easy test for divisibility.

Is 12345 divisible by 5?

**Note:** 12345 is divisible by 5 if it can be divided into groups of 5 with nothing left over.

Is 234 divisible By 9?

*repunit*. How many digits long is the smallest repunit that is divisible by 9?

For how many different values of \(A\) is the three digit number \(3A6\) even?

Note: \(A\) can be any of the 10 digits from 0 to 9.

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