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Counting Factors

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

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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?

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Helen's Conjecture

Helen made the conjecture that "every multiple of six has more factors than the two numbers either side of it". Is this conjecture true?

Magic Crosses

Age 7 to 14 Challenge Level:
You can use the magic cross tester below to find magic crosses of your own.
Choose five numbers and put them in the blue boxes.
A message will appear to tell you whether your cross is magic.

Press the reset button to start again.