### 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.

##### Stage: 3 Challenge Level:

$23 \times 21$ is the same as

$$(20 \times 21) + (3 \times 21)$$

which is the same as

$$((20 \times 20) + (20 \times 1)) + ((3 \times 20) + (3 \times 1))$$

Can you figure out where each of these four products appears in the different methods?

Can you deconstruct $246 \times 34$ in the same way?