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Q: What do say for numbers which have exactly 3 factors?

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All numbers that are the square of primes have exactly 3 factors.

Squares of prime numbers have exactly three factors.

The squares of all prime numbers above 2 have exactly 3 factors.

Prime squares

A number has exactly three factors if and only if it is the square of a prime number.

By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.

2 and 3

Prime squares

Squares of prime numbers.

3, 5 and 7

25 and 49

That's an infinite list.

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