There are 15 positive two-digit numbers that are evenly divisible by 6.
To find this, we need to determine the smallest and largest two-digit numbers divisible by 6, and then count how many multiples of 6 fall within that range.
- The smallest two-digit number is 10. The smallest multiple of 6 that is greater than or equal to 10 is 12 (6 x 2 = 12).
- The largest two-digit number is 99. The largest multiple of 6 that is less than or equal to 99 is 96 (6 x 16 = 96).
Therefore, the two-digit numbers divisible by 6 are: 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, and 96.
To count these efficiently, consider that these are 6 multiplied by the integers from 2 to 16. Therefore, there are 16 - 2 + 1 = 15 such numbers.
