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Math Help - Divisibility

  1. #1
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    Divisibility

    Problem:

    Find digits a and b such that 495 divides 273a49b5. Find digits a, b, and c such that 792 divides 13ab45c.

    I'm not even sure where to start. Any help would be appreciated.
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  2. #2
    Senior Member MaxJasper's Avatar
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    Lightbulb Re: Divisibility

    Try:
    27374985 unique = 2^2 * 5 * 11 * 29 * 1907
    495 = 3^2 * 5 * 11

    1380456 unique = 2^3 * 3^3 * 7 * 11 * 83
    792 = 2^3 * 3^2 * 11
    Last edited by MaxJasper; October 10th 2012 at 04:11 PM.
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