The squares of prime numbers have exactly three factors.
4 has 1, 2, and 4.
9 has 1, 3, and 9.
25 has 1, 5, and 25.
49 has 1, 7, and 49.
121 has 1, 11, and 121.
169 has 1, 13, and 169.
Squares of prime numbers have exactly three factors.
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
Prime squares
A number has exactly three factors if and only if it is the square of a prime number.
Prime numbers have exactly two factors.All prime numbers have only 2 factors whereas composite numbers have more than 2 factors
All numbers that are the square of primes have exactly 3 factors.
Squares of prime numbers have exactly three factors.
Numbers with exactly three factors are squares of prime numbers.
The squares of all prime numbers above 2 have exactly 3 factors.
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
Prime squares
A number has exactly three factors if and only if it is the square of a prime number.
2 and 3
3, 5 and 7
4 and 9
Prime squares have three factors. 4, 9, 25
2 4 6