SOLUTION: My mystery number only has the prime factors of 2,3, and 5. It has 18 factors. What are the possibilities for my mystery number?

Question 1030289: My mystery number only has the prime factors of 2,3, and 5. It has 18 factors. What are the possibilities for my mystery number?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The mystery number would have the form . The number of factors, or divisors, is given by .
==> .
But 18 = 2*3*3, hence there are possibilities, namely
, , ;
, , ;
, , ;
==> The possibilities for the mystery number are 450, 300, or 180.
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