0
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.
What else can I help you with?
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.
Is there a prime number where there is 1 less than a perfect square?
3 is prime, 1 less than the perfect square of 4 (2x2)
Can a perfect number also be a prime number and how?
A perfect number cannot be a prime.
Is one a perfect number?
no, but I don't know why. One is not a prime number and by definition of a perfect number one must be a prime number.
Is 13 a perfect number?
No, it is not.Incidentally, is a number p is prime then its 2 factors are 1 and p. Their sum is p+1.If p is a perfect number then this sum must be 2p.That is, p+1 = 2p or p = 1.But 1 is not a prime. So no prime can be a perfect number and since 13 is prime, it cannot be a perfect number.
Is it possible for a prime number to be a perfect number and why?
No, all prime numbers are deficient.
Can a perfect square be a prime number Explain?
No. A prime number is always odd.
Can a prime number be a perfect square?
No.
Is 1 a prime number or a square number?
1 is not considered a prime number; 1 is a perfect square.
Can a prime number be a perfect cube?
Yes, a prime number can be a perfect cube. A perfect cube is a number that can be expressed as the cube of an integer, such as 1, 8, 27, etc. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. So, a prime number that is also a perfect cube would be a number like 2^3 = 8.
Will the square root of a prime number be rational or irrational?
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.
What number is a perfect square the only prime number in its prime factorization is 2 and the sum is odd?
16
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.
Is there a prime number where there is 1 less than a perfect square?
3 is prime, 1 less than the perfect square of 4 (2x2)
