### 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?

# How Many Miles to Go?

##### Stage: 3 Challenge Level:

After one mile the milometer will read $4632$ and the trip meter will read $174.3$.

What happens when you add $10$ miles ... $100$ miles ... to each of the two measurements?

What are the two readings that match? Is it significant that one number is a multiple of the other?