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Puzzle 1

Can you show that maths equation

has five different whole number solutions?

Challenge: is it possible to have a similar equation with six different integer answers? Please send answers to your local Area Coordinator.

For we … have three different scenarios:

maths equation

Puzzle 2

maths equation has 64 distinct factors. Can you explain why, and can you find the prime factorisation for a lower number with 64 distinct factors?

Each prime factor can be in or not in the prime factorisation of a factor, so there are maths equation possible factors. There are lower possibilities and the lowest is maths equation

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