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How many positive divisors of 30! are prime?

 Jul 29, 2020
 #1
avatar+1154 
+1

We could prime factorize the numbers below 30 and get the list
2,3,5,7,11,13,17,19,23,29 

and  that is \(\boxed{10\text{ numbers}}\)

 Jul 29, 2020
 #2
avatar+8 
0

Because a prime number is a number that can not be divisible by any number except for itself and one, you can just list the prime numbers under and/or equal to 30. Every composite, or non-prime, is divisible by at least two prime numbers.

 Jul 29, 2020

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