SOLUTION: Find two positive numbers with product of 64 and the sum that is minimum

Question 172844: Find two positive numbers with product of 64 and the sum that is minimum
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The prime factorization of 64 is , so all factors of 64 must be some power of 2.

Possible factors: 1, 2, 4, 8, 16, 32, and 64.

64 * 1 = 64, sum is 65

32 * 2 = 64, sum is 34

16 * 4 = 65, sum is 20

8 * 8 = 64, sum is 16

Your problem doesn't say that the numbers have to be different, so 8 and 8 are the correct choices. If you add the restriction that the numbers must be different, then the answer is 4 and 16.
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