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?
Here is an alternative and more unusual version of the "Think of a Number" trick which you may have heard of before.
From your answer I can work out both your numbers very quickly. How?
Choose some different pairs of numbers and repeat the process.
Can you figure out how the trick works?
Click here for a poster of this problem.