An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
What is the smallest number with exactly 14 divisors?
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?
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?