SOLUTION: what is the sum of all positive two-digit integers with exactly five positive integral factors

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Question 1132526: what is the sum of all positive two-digit integers with exactly five positive integral factors
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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what is the sum of all positive two-digit integers with exactly five positive highlight%28cross%28integral%29%29 integer factors
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If you mean " . . . with exactly five positive divisors",

then there are 2 and only two such numbers.  They are

            2%5E4 = 16   with the divisors  1, 2, 4, 8  and  16,     and

            3%5E4 = 81   with the divisors  1, 3, 9, 27  and  81.

The sum is   16 + 81,  which you can easily calculate on your own.