SOLUTION: Show that any number of the form (ABCABC) is divisible by 13?

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Question 438354: Show that any number of the form (ABCABC) is divisible by 13?
Answer by richard1234(7193) About Me  (Show Source):
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If A,B,C are digits with A+%3C%3E+0, ABCABC can be expressed as 1001*ABC, since ABC000 = 1000*ABC, then just add ABC. 1001 is divisible by 13, so ABCABC must also be divisible by 13.