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?
Do you know a quick way to check if a number is a multiple of two? How about three, four or six?
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?