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No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop.

Yes, there is.

If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root.

But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.

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Q: Is there a prime factor greater than the square root of an integer?

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7 is a prime factor of 49. Actually, it is the square root.

-32 = -25The only prime factor of -32 is 2. Negative numbers can't have prime factorizations.

This is because a factor is defined in terms of multiplication, not addition. One integer, p, is a factor of another integer, q, if there is some integer, r (which is not equal to 1) such that p*r = q.

The largest square factor of 557 is 1 because 557 is a prime number

Prime factorization is the determination of the set of prime numbers which multiply together to give the original integer. The prime factor of 2048 is 2 to the 11th power.

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Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors

Given the prime factorization of an integer how can you determine if our integer is a perfect square?

The positive integer with only one factor is 1.

A factor of a integer is an integer that divides the second integer into a third integer exactly; i.e. A is a factor of B if B/A is exactly C, where all of A, B and C are integers. A prime factor is a factor as above, but is also a prime number. This means that the only factors of that factor are one and the number itself; i.e. A is a prime factor of B if B/A is exactly C andthe only factors of A are 1 and A.

The prime factors of 20 are: 2 and 5.

Any integer greater than one can be co-prime.

2, 3 and 5

No. Most integers aren't prime.

It is true that the square root of a prime number like 11 is never a whole number. But to say that that has never been proven is incorrect. The square root of any positive integer that is not a square number (the square of an integer) is always irrational, and that is relatively easy to prove. To prove that prime numbers are not square numbers is even easier. That is basically true by definition. If a number greater than 1 were a square number, its square root would be a factor other than 1 and itself; therefore, it would not be a prime number.Answer 1No - the square root of 11 is not a whole number. 11 is prime so it has no factors except itself and 1, anyways.Any prime number has no square root that is a whole number or integer. (That postulate has not been proven, but it has not been disproven so it is accepted as true.)

7

Integers greater than 1 can be prime or composite. No integer can be prime composite.

A prime number is an integer, greater than 1, which is only divisible by 1 and by itself.A prime number is an integer, greater than 1, which is only divisible by 1 and by itself.A prime number is an integer, greater than 1, which is only divisible by 1 and by itself.A prime number is an integer, greater than 1, which is only divisible by 1 and by itself.

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