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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?

Oh! Hidden Inside?

Find the number which has 8 divisors, such that the product of the divisors is 331776.

Summing Consecutive Numbers

Age 11 to 14 Challenge Level:
Start by trying some simple cases; perhaps start by exploring what happens when you add two or three consecutive numbers.


$1 + 2 + 3 = 6$

$2 + 3 + 4 = 9$

Can you explain why the total has gone up by $3$?