SOLUTION: For how many three-element sets of positive integers is it true that their product is 2013?
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Question 841558: For how many three-element sets of positive integers is it true that their product is 2013?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
2013 = 3*11*61
If none of the elements is 1, there is one set ({3,11,61})
If exactly one of the elements is 1, there are three sets ({3, 11*61}, {11, 3*61}, {61, 3*11}).
If exactly two of the elements are 1, there is one set ({1, 1, 2013}).
# sets = 1+3+1 = 5.
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