### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!

### GOT IT Now

For this challenge, you'll need to play Got It! Can you explain the strategy for winning this game with any target?

# 14 Divisors

##### Stage: 3 Challenge Level:

The list below shows the first ten numbers together with their divisors (factors):

1. $1$
2. $1$, $2$
3. $1$, $3$
4. $1$, $2$, $4$
5. $1$, $5$
6. $1$, $2$, $3$, $6$
7. $1$, $7$
8. $1$, $2$, $4$, $8$
9. $1$, $3$, $9$
10. $1$, $2$, $5$, $10$

What is the smallest number with exactly twelve divisors?

What is the smallest number with exactly fourteen divisors?