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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?

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


Stage: 3 Short Challenge Level: Challenge Level:1

There are 8 flapjacks in a batch, and each batch needs 4oz rolled oats. Given 16oz of oats we can potentially make 16/4 = 4 batches, provided we have enough of the other ingredients. 4 batches require 12oz sugar and 8oz butter, which we have, so we can make 4 batches, which gives us 32 flapjacks.

This problem is taken from the UKMT Mathematical Challenges.

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