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| 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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