math
posted by Joe on .
Find the smallest positive whole number with exactly ten positive factors and list the factors.

1*1*1*1*1*1*1*1*1*1 = 1
You didn't say the factors had to be different. 
yeah, but it is not "exactly" 10 factors either! LOL
To get exactly 10 factors, the first factors must be 1,2,3,4,5 (N>25, square of the fifth factor), or 1,2,3,4,6 (N>36).
However, the latter set gives a smaller number, namely 48, while the first set gives 60.