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Lastly - Well

What are the last two digits of 2^(2^2003)?

Counting Factors

Is there an efficient way to work out how many factors a large number has?

Summing Consecutive Numbers

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

One to Eight

Age 11 to 14 Challenge Level:

A problem in which students can apply their understanding of how prime numbers form the building blocks of numbers.

Students will need to develop strategies that help them narrow down their options and then work systematically.

You can find a similar problem on the NRICH site: Funny Factorisation