### 14 Divisors

What is the smallest number with exactly 14 divisors?

### 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.

# Weekly Problem 25 - 2011

##### Stage: 2 and 3 Short Challenge Level:

The number of students is $59$.

This problem is taken from the UKMT Mathematical Challenges.

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