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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?

Weekly Problem 10 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1
By Pythagoras theorem the length of the diagonal is $\sqrt{3^2+2^2}=\sqrt{9+4}=\sqrt{13}$.

This problem is taken from the UKMT Mathematical Challenges.

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