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?

Dozens

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

Weekly Problem 50 - 2015

Stage: 3 Challenge Level:

The letters $J$, $M$ and $C$ represent three different non-zero digits.

What are the values of $J$, $M$ and $C$?

This problem is taken from the UKMT Mathematical Challenges.

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