**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?

**maths equation **possible factors. There are lower possibilities and the lowest is **maths equation**