#### Question

Write true (T) or false (F) for the following statement.

The square of a prime number is prime.

#### Solution

False

If *p* is a prime number, its square is *p*^{2}, which has at least three factors: 1, *p* and *p*^{2}. Since it has more than two factors, it is not a prime number.

Is there an error in this question or solution?

Solution Write True (T) Or False (F) for the Following Statement. the Square of a Prime Number is Prime. Concept: Square Roots - Finding Square Root Through Prime Factorisation.