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Is there a prime factor greater than the square root of an integer?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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What is the greatest three digit integer that has a factor of 32?
The number 32 has only one prime factor: 2The true prime factor for any number is 1.
What is the prime factorization of the integer -32?
-32 = -25The only prime factor of -32 is 2. Negative numbers can't have prime factorizations.
Why doesn't prime factorization work on addition?
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.
What is the largest square factor of 557?
The largest square factor of 557 is 1 because 557 is a prime number
What is the prime factor of 200 with the prime factor being larger then 200?
There are no factors of 200, prime or otherwise, that are larger than 200.
Is there any prime numbers that are square numbers?
No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.
Are square numbers also prime numbers?
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?
Given the prime factorization of an integer how can you determine if our integer is a perfect square?
What is a positive integer with only one factor?
The positive integer with only one factor is 1.
What is the difference between factors and prime factors?
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.
Which integer is a prime factor of 20?
The prime factors of 20 are: 2 and 5.
Is the square root of 11 a whole number?
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.)
What are the co prime number?
Any integer greater than one can be co-prime.
A mystery number is greater than 50 and less than 100 you can make exactly five different rectangles with the mystery number of tiles its prime factorization consists of only one prime number?
No single integer satisfies both requests. 80 is the only integer with exactly 5 factor pairs in that range, but it has two prime factors. 64 and 81 have one prime factor but 4 and 3 factor pairs respectively.
Is the greaes prime factor of any integer is itself?
No. Most integers aren't prime.
What integer is a prime factor of 30?
2, 3 and 5
Explain why 23 is considered to be a prime number?
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.
