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'Factor Track' printed from http://nrich.maths.org/
Factor Track is not a race but a game of skill.
Below is a simple training version. The idea is to go round the
track in as few moves as possible, keeping to the rules.
You start on the (yellow) $60$ and must make your way round to the
(red) 'end' square.
You can move any factor of the number you are on, except $1$.
You must land exactly on each green square, so you can't go round
corners in one move.
Have a go at moving round this 'training' track following the
Can you do it in fewer moves?
When you feel ready, try this more complicated track where there
are possible short cuts. You will have to work out
whether they are worthwhile.
You might find it easier to print out this larger copy
track which also has the rules on it.
You can do this on your own or with a friend. Who can get round in
the least number of moves?
What is the best route to take to do it in the least number of
Which squares do you need to land on?