Copyright © University of Cambridge. All rights reserved.

## 'Repeaters' printed from http://nrich.maths.org/

Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594).

Whatever digits you choose the number will always be divisible by 7 and by 11 and by 13, in each case without a remainder.

Can you explain why?