How many positive divisors does 6! have? PLZ HELP

wouldn't it be 6 because 6! is 1*2*3*4*5*6

A number factored into   primes   a^m * b^n .....     has  (m + 1) ( n + 1)...  positive divisors

6! =   720

Factor into primes

36 * 20  =

9 * 4 * 4 * 5  =

3^2 * 2^2 * 2^2 * 5  =

3^2 + 2^4 * 5^1

The number of positive divisors  =

(2 + 1) ( 4 + 1) (1 + 1 ) =

3 *   5  * 2  =

30 positive divisors