Prime numbers have only two factors.
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Prime numbers have exactly two factors.All prime numbers have only 2 factors whereas composite numbers have more than 2 factors
Squares of prime numbers have exactly three factors.
That is correct -- all prime numbers have exactly two factors.
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
All prime squares have just three factors. Example: 9, 25