Suppose $n$ is a positive integer such that $6n$ has exactly 9 positive divisors. How many prime numbers are divisors of $6n$?
Suppose $n$ is a positive integer such that $6n$ has exactly 9 positive divisors. What is $n$?
I'll answer the second one, first....I believe that "n" = 6 thus 6n = 6(6) = 36
The positive divisors are 1, 2, 3, 4, 6, 9, 12, 18 and 36
So...the number of prime divisors of "6n" is just ... two ..... [ 2 and 3 ]