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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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โˆ™ 2014-01-04 22:47:04
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Why are no prime number a perfect number?
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Related questions

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.


Can a prime number be a perfect square?

No.


Can a perfect square be a prime number Explain?

No. A prime number is always odd.


Is it possible for a prime number to be a perfect number and why?

No, all prime numbers are deficient.


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 1 a prime number or a square number?

1 is not considered a prime number; 1 is a perfect square.


What number is a perfect square the only prime number in its prime factorization is 2 and the sum is odd?

16


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.


Can a prime number be a perfect cube?

No, being a perfect cube would mean it has factors.


Why is the number 40 not a perfect square?

because it needs to be a prime number and it has to be simplified


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)


What number is a perfect square with 2 as its only prime number in its prime factorization?

4, 16, 64 and many others


Your number is a perfect square the only prime number in its prime factorization is 2 your number is a factor of 32 the sum of its digits is odd?

16.


What number is a perfect square the only prime number in its prime factorization is two the number is a factor of 32 and the sum of its digit is odd?

16


A number that is a perfect square the only prime number in its prime factorization is 2 a factor of 32 and the sum of its digits are odd?

The number is 16.


What number is a perfect square that only prime number in its prime factorization is 2 its number is a factor of 32 and its sum of its digits 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.


What is the relationship between Mersenne prime and perfect numbers?

Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime. When a new Mersenne prime is discovered, so is a new perfect number.


Is 5329 a prime number?

No, it's a perfect square 73 * 73.


Is a prime number cannot be a perfect square?

That is correct.


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.


What is Number that has one repeated prime factor?

Any such number has a perfect square factor.If you want examples, just multiply some prime factors together, making sure that at least one is repeated.


No prime number can be a perfect square True or false?

True. By definition, a prime number is divisible by one and by itself. Also by definition, a perfect square has at least an additional pair of factors - it's square root. Therefore a prime number could never be a perfect square. One exception that might come to mind in this case is the number one. One however, is not considered a prime number, and thus does not conflict with this rule.


What are the 'perfect' number between 400 and 500?

There is only one Perfect Number within this range : 496. If 2ⁿ - 1 is prime then 2ⁿ⁻¹(2ⁿ - 1) is a perfect number. In this instance n = 5 then, 2⁴(2⁵ - 1) = 16 x 31 = 496...........and 31 is a prime number.