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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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