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?