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.