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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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Dozens

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

A Leg to Stand On

Stage: 3 Short Challenge Level: Challenge Level:1
206 - the 6 legs of the staff = 200. On average, at each table, there are three table legs, 16 chair legs and 6 customer legs which gives a total of 25 legs per table. 200/25 = 8, hence there are 8 tables and therefore 32 chairs.

This problem is taken from the UKMT Mathematical Challenges.

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