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Math Help - Stumped on a Proof

  1. #1
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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. #2
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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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