SOLUTION: A positive integer is called terrific if it has exactly $3$ positive divisors. What is the largest number of primes that could divide a terrific positive integer?

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Question 1207655: A positive integer is called terrific if it has exactly $3$ positive divisors.
What is the largest number of primes that could divide a terrific positive integer?
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


A positive integer has exactly 3 positive divisors if and only if its prime factorization is p^2, where p is a prime number.

That means that any positive integer that has exactly 3 positive divisors is divisible by only one prime number.

ANSWER: 1