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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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14 Divisors

What is the smallest number with exactly 14 divisors?

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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?

One Short

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

A positive whole number less than $100$ has remainder $2$ when it is divided by $3$, remainder $3$ when it is divided by $4$ and remainder $4$ when it is divided by $5$. What is its remainder when it is divided by $7$?


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


This problem is taken from the UKMT Mathematical Challenges.
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