What is the smallest positive integer with exactly thirty positive divisors?
6! =720 has exactly 30 divisors.
2^4 * 3^2 * 5^1 = 720
The number of divisors =
(4 +1) (2 + 1) + (1 + 1) =
(5) (3) (2) =
15 * 2 =
30
