Guess my number

Question

My number is between 100 and 500 that is divisible by six. The sum of my digits is 15. The product of my ones and tens digits is between 20 and 30. All my digits are different. All my digits are consecutive.

Answer 1

The digits are:

n, n + 1, and n + 2

1 ≤ n < 5

123, does not sum to 15

234, does not sum to 15

345, does not sum to 15

456, woo woo, sums to 15 and is divisible by 6, yet 5(6) = 30, Boo!

We have run out of numbers!