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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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Q: Why can't a square number be prime?
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Related questions

What is a square number with a prime number?

No square number can be a prime number and conversely.


Is 113 a square number or a prime number?

113 is prime, not square.


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What is the mathematical name for a number whose square root is a prime number?

a prime square


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