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23 October, 23:57

The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that also has exactly three factors, what is the sum of the three factors of k

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  1. 24 October, 00:40
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    To solve this problem, we must do a method of trial and error to find for the next highest integer with exactly three factors. We know that the value of k must be greater than 4, therefore by using trial and error to find for the correct answer:

    Factors of 5:1, 5

    Factors of 6:1, 2, 3, 6

    Factors of 7:1, 7

    Factors of 8:1, 2, 4, 8

    Factors of 9:1, 3, 9

    Therefore we stop at 9 since this is already our answer. It has exactly three factors.

    The sum of the factors is:

    sum of factors = 1 + 3 + 9

    sum of factors = 13
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