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?

Packing Boxes

Stage: 3 Short Challenge Level:

Harry, Christine and Betty are packing $36$ boxes of chocolates.

Harry and Christine would take $2$ hours to pack the boxes;
Harry and Betty would take $3$ hours;
Christine and Betty would take $4$ hours.

How many boxes does Christine pack in one hour?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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