Just repeat

Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?

Problem



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Just Repeat
Just repeat!

Think of any three-digit number.

Repeat the digits

e.g.

234 ....... 234 234

973 ...... 973 973



Both 6-digit numbers are divisible by 91.

Is this a coincidence?

Are there other patterns and connections?