squares of prime numbers
4,9,25
Squares of prime numbers are the only numbers with three factors, since there must be only one nontrivial divisor for a number to have three factors. That number must thus be prime.
there are only 2 factors because 3 is a prime number: the factors are 1 and 3
If a number has three factors, it's a perfect square. One of those three factors (apart from 1 and the number itself) would be the square root.
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.
Any square of a prime number. For example, 5*5 = 25 has the factors 1, 5, 25. If you square any other prime number, call it "p", the factors of the result are 1, p, p square.
A square number
The numbers with only three factors are squares of prime numbers.
3 is a prime number; its only factors are 1 and itself.
A number has exactly three factors if and only if it is the square of a prime number.
Squares of prime numbers are the only numbers with three factors, since there must be only one nontrivial divisor for a number to have three factors. That number must thus be prime.
It will be the number with only 2 factors
The only factors of 23, which is a prime number, are 1 and 23.
It is 25 because,25s only factors are 1,5,and 25.
25
The number 9: factors are 9, 3, and 1.
The square of any prime number has only three factors. Example: 121 is the square of 11, a prime number. The only factors of 121 are 1, 11, and 121 itself.
Square numbers have an odd number of factors. Other numbers have an even number of factors. The squares between 12 and 40 include 16, 25, and 36. If the number has only three factors, it must be the square of a prime number, since two of the factors will be 1 and itself, so if there is only one more factor, this third number cannot have factors itself. This means the number must be 25, whose factors are 1, 5, and 25. Response: 24 has (at least) three factors - 1, 2, 3, 4, 6, 8, 12, and 24 .