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How many two digit numbers are divisible by six?

Published in Mathematics 1 min read

There are 15 two-digit numbers that are divisible by six.

Here's how to determine that:

The smallest two-digit number divisible by 6 is 12 (6 2). The largest two-digit number divisible by 6 is 96 (6 16).

Therefore, we need to find how many multiples of 6 there are between 6 2 and 6 16, inclusive. This is the same as finding how many integers there are from 2 to 16 inclusive.

To do this, we subtract the smallest multiplier from the largest and add 1:

16 - 2 + 1 = 15

Therefore, there are 15 two-digit numbers that are divisible by 6.

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