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17 November, 18:52

Find the sum of the positive square free divisors of 5400.

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  1. 17 November, 19:08
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    Consider the positive squares of 1,2,3,4, 5, ...

    They are 1, 4, 9, 16, 25, ...

    Factorize 5400 with regard to these positive squares.

    5400 = 4 * 1350

    = 4 * 9 * 150

    = 4 * 9 * 25 * 6

    The positive square free divisors of 5400 are 4,9 and 25.

    Their sum is 4+9+25 = 38

    Answer: 38
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