SOLUTION: A positive integer is called terrific if it has exactly $3$ positive divisors. What is the smallest terrific positive integer?

Question 1207656: A positive integer is called terrific if it has exactly $3$ positive divisors.
What is the smallest terrific positive integer?
Answer by greenestamps(13198) (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.

The smallest positive integer with exactly 3 positive divisors is p^2, where p is the smallest prime number. The smallest prime number is 2, so the smallest positive integer with exactly 3 positive divisors is 2^2 = 4.

ANSWER: 4

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