Maths Week England Puzzle Solution (Part 2): How many people are in Ada's class?

Here's my bonus solution to the 3rd Maths Week England Puzzle... (question written below and in video). Watch part 1 first:
This one is more advanced using lowest common multiples and prime factors to give an infinite number of possible solutions!

Ada’s class were told to get into equal teams to take part in a Maths Week competition. Trouble is, when they got into pairs, she was the only one without a partner. They tried teams of 3 people, but again she was the only one not in a team. They tried to get into teams of 4 people and this time Ada was still the odd one out! Finally, they got into teams of 5 and all was well - Ada was part of a team! How many people are there in Ada’s class?

Recorded for Maths Week England 2019 - more info here:

Produced by Tom Crawford, a maths tutor at the University of Oxford.
For more maths related fun check out Tom's website
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