### Latin Numbers

Can you create a Latin Square from multiples of a six digit number?

### Repeaters

Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

# Always a Multiple?

##### Stage: 3 Challenge Level:

First video:

Charlie imagined a two-digit number $ab$, where $a$ represents the number in the tens column, and $b$ respresents the number in the units. This can be written as $10a+b$. Similarly, $ba$ can be written as $10b+a$.
Charlie added these together to get $11a+11b$, which he wrote as $11(a+b)$.