Because Prime number is divisible only by 1 and itself. For example, 17 only has 2 factors - 1 and 17.
With the exception of the number 1, all other square numbers are divisible by a number other than 1 and itself. For example, 36 has the factors 1, 2, 3, 4, 6, 9, 12, 18, and 36.
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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.
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.
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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.