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19 August, 15:45

The natural number A is a multiple of 6. When the sum of all the factors of A is 39, find the value of A.

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  1. 19 August, 16:40
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    A = 18

    Step-by-step explanation:

    A is a multiple of 6, that is

    A : 6, 12, 18, 24, 30, ...

    Listing the factors gives

    6 : 1, 2, 3, 6 → sum = 12

    12 : 1, 2, 3, 4, 6, 12 → sum = 28

    18 : 1, 2, 3, 6, 9, 18 → sum = 39

    Thus A = 18
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