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Two Six-digit Numbers

January 15, 2011

Here is a nice number theory problem:

Find two six-digit numbers A and B, such that the 12-digit number obtained from concatenating A and B is divisible by the product AB. The answer is unique. (from Niko Sato at AoPS’s Blog).

http://www.artofproblemsolving.com/Forum/blog.php?u=company

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