Different positive factors of integer

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Reference no: EM13131772

Find the smallest positive integer with exactly n different positive factors when n is:

3,4,5,6,10

I am not sure if I should do it like this:

For 3 the answer would be: 1*2*3 = 6 (or is 1 not counted? in that case 2*3*5 =30)

By this approach for 6 the answer would be: 2*3*5*7*11*13?

Or maybe 1,2,3,4,6,12? So the answer would be 12?

I'm not sure how exactly to attack this problem.

Reference no: EM13131772

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