### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### 14 Divisors

What is the smallest number with exactly 14 divisors?

### Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

# 1 Step 2 Step

##### Stage: 3 Challenge Level:

Liam's house has a staircase with $12$ steps. He can go down the steps one at a time or two at a time.
For example, he could go down $1$ step, then $1$ step, then $2$ steps, then $2$, $2$, $1$, $1$, $1$, $1$.

In how many different ways can Liam go down the $12$ steps, taking one or two steps at a time?