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Is it possible for a prime number to be a perfect number and why?
Wiki User
∙ 8y ago
No, all prime numbers are deficient.
Wiki User
∙ 8y ago
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Can a perfect number also be a prime number and how?
A perfect number cannot be a prime.
Is 1 a prime number or a square number?
1 is not considered a prime number; 1 is a perfect square.
Why are no prime number a perfect number?
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.
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
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 perfect?
A perfect number is a positive integer whose factors (excluding the number itself) add up the number; 6 is a perfect number: 1 x 2 x 3 = 6 1 + 2 + 3 = 6 Prime numbers, by definition, don't have factors, so cannot be perfect. In fact, it may be that odd numbers can't be perfect.
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.
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 it possible for a multiple of 13 greater then 13 to be a prime number?
It is not possible for any multiple of a prime number to be prime.
Is 1 a prime number or a square number?
1 is not considered a prime number; 1 is a perfect square.
Why are no prime number a perfect number?
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.
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 it possible for 53 to be prime?
53 is a prime number.
