### 14 Divisors

What is the smallest number with exactly 14 divisors?

### Helen's Conjecture

Helen made the conjecture that "every multiple of six has more factors than the two numbers either side of it". Is this conjecture true?

### Oh! Hidden Inside?

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

# Summing Consecutive Numbers

##### Stage: 3 Challenge Level:
Start by trying some simple cases; perhaps start by exploring what happens when you add two or three consecutive numbers.

$1 + 2 + 3 = 6$

$2 + 3 + 4 = 9$

Can you explain why the total has gone up by $3$?