It is not impossible for a number to be prime and square, The only possible number that is prime and a square is 1, which is 1x1, and 12. Due to the fact that prime numbers are only divisible by themselves and 1, primes cannot be a square.
Chat with our AI personalities
The only number that fits that description is 1. Any other square number would not be prime because it divides evenly by a number other than 1.
49 is not a prime number. It is the square of the prime number 7.
Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.
square
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.
There is not a number that is square, even, and prime. A prime number is a number with two and only two factors: 1 and itself. The only even prime number is 2, because all other even numbers are, by definition, divisible by 2, which means they have more than two factors and thus cannot be prime. A square number is the product of multiplying a number by itself, so the number which is multiplied by itsefl to create a square number is a factor of that number, meaning it has more than two factors, so it cannot be prime. A prime number cannot be even (except for the number 2) and cannot be a square number. A square number can be an even number, but can also be an odd number.