This would also give me a practical answer, though it could be off quite a bit for some cases.

For instance, for N=1000, the factorization is 2**3 * 5**3. Your method gives 2**2 * 5**2 = 100, while the closest factor to the square root is 5**2 = 25 (paired with 40). I'd be happy with either 25 or 40.

-QM
--
Quantum Mechanics: The dreams stuff is made of

In reply to Re^4: OT: Finding Factor Closest To Square Root by QM
in thread OT: Finding Factor Closest To Square Root by QM

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