Question

A number has three distinct digits. The sum of the digits equals the product of the digits. How many three-digit numbers satisfy this condition?

Answer 1

still no ideas of your own?

Try google when you have no clue:

http://math.stackexchange.com/questions/202679/sum-of-digits-and-product-of-digits-is-equal-3-digit-number

Answer 2

I think only one number can do: 123. 1+2+3=1*2*3=6

Answer 3

123 works 1+2+3=1*2*3=6 so that means 123,132,213,231,312,321 all also work.