### I'm Eight

Find a great variety of ways of asking questions which make 8.

### 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.

### Oh! Hidden Inside?

Find the number which has 8 divisors, such that the product of the divisors is 331776.

# A One in Seven Chance

##### Stage: 3 Challenge Level:

What is the remainder when $2^{164}$ is divided by 7?