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Ow... number theory makes my brain hurt. But check this out.
Take a 3-digit number. Any number.
Multiply it by 7.
Multiply it by 11.
Multiply it by 13.
What do you have? Your number repeated (like 236 becomes 236236).
How does it work? Spoiler: 7*11*13 = 1001. Multiply something by 1001, and you're really multiplying it by 1000, then adding it times 1. So for 236, you get (236*1000) + (236*1) or (236000) + (236)
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