I would like to know how you would fine thesmallest ordinary numberwithexactlya certain number of factors given, for example:

The number of factors is 6

Thesmallest numberwith 6 factors is 12

12 =

- 1 * 12
- 2 * 6
- 3 * 4

So the question is really:

The number of factors isn

The smallest number withnfactors isX

How do you findX?

Please feel free to use an example because I think doing it all in algebra will be unreasonably difficult