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The only factors of a prime are 1 and itself. So, the only factor smaller than the number itself is 1. Therefore the sum of all factors smaller than the number is 1. But 1 is not a prime number.
Thus, there is no Prime number that is a perfect number.
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Can a perfect number also be a prime number and how?
A perfect number cannot be a prime.
Is it possible for a prime number to be a perfect number and why?
No, all prime numbers are deficient.
Is 1 a prime number or a square number?
1 is not considered a prime number; 1 is a perfect square.
Is there a product of two perfect squares that is not a perfect square?
No there isn't. every perfect square number can be factored into prime number. At their factoration you'll always have multiples of two on the primes exponent. Therefore you'll multiply a prime raised to a 2-multiple number with another prime raised to a 2-multiple number wich gives you also a number that factored gives you a product of prime numbers raised to a 2-multiple number and so, a perfect square.
Why is the number 40 not a perfect square?
because it needs to be a prime number and it has to be simplified
