# Why is a prime number not a square number?

##### 2 Answers

Dec 27, 2016

A square number is of the form

#### Explanation:

This means it has factors other than

OK, I admit:

**but**

Oct 7, 2017

A prime number has

#### Explanation:

All square numbers have an odd number of factors.

A prime number by definition has exactly

Therefore no prime number is a square and no square number is prime.