### Instruction: How many positive divisors of 30! are prime?### Response: I know that 30! means the product of all the positive integers from 1 to 30.
So any prime divisor of 30! must be one of the prime numbers between 1 and 30.
I can list those: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.