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Thread: Stumped on a Proof

  1. September 3rd 2010, 07:08 PM #1
    MATNTRNG
    MATNTRNG is offline
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    Stumped on a Proof

    Prove that every 6-digit integer of the form abcabc (ex. 241241, 638638) is divisible by 13.
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  2. September 3rd 2010, 07:46 PM #2
    melese
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    The decimal expansion of abcabc, is a\cdot10^5+b\cdot10^4+c\cdot10^3+a\cdot10^2+b\cdot 10+c=10^3(a\cdot10^2+b\cdot10+c)+a\cdot10^2+b\cdot 10+c.
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« N=PPPP.....PP(1998 digits) | Find the maximum value... »

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