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.
1
121, 25, 4, 9, 49
what 2-digit number that has only 3 factors and is less than 30 which one is the number?
78
3
8
15
54
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
Prime numbers have exactly two factors. 3 has exactly two factors: 1 and 3. So 3 is prime. Composite numbers have more than two factors. 4 is composite because it has three factors: 1, 2, and 4.
4 and 9
Prime squares have three factors. 4, 9, 25