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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 turns as possible, keeping to the rules.
For accessibility, clicking on the 'show' button below will show a description of this image.
Start: 60
Blank
14
48
25
40
31
10
19
Corner: 28
Blank
72
2
24
Blank
9
Corner: 18
Blank
13
Corner: 14
Blank
Corner: 24
Blank
3
Corner: 36
Blank
7
Corner: 32
Blank
Blank
5
Corner: 14
Blank
2
7
10
6
19
End
Rules:
You start on the 'Start' square and must make your way round to the 'End' square.
You can move any factor of the number you are on, except 1.
You must land exactly on each corner (green) square, so you can't go round corners in one turn.
Have a go at moving round this 'training' track following the rules.
Can you do it in fewer turns?
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 can click on this image to make it bigger.
For accessibility, clicking on the 'show' button below will show a description of this image.
Start: 60
Blank
14
48
25
10
45
31
19
Corner: 28
Blank
72
2
Three-way corner A: 36
Blank
46
15
28
23
Corner: 56
Blank
55
28
13
43
42
Corner: 30
Blank
11
15
27
8
Corner: 24
Blank
7
39
4
17
Corner: 28
Blank
8
9
Corner: 48
Blank
Three-way corner B: 20
Blank
4
13
Corner: 27
Blank
31
Corner: 36
Blank
Corner: 20
Blank
16
2
41
Corner: 32
Blank
8
19
Three-way corner C: 4
Alternate route from B to C:
Three-way corner B: 20
Blank
Corner: 98
Blank
Corner: 76
Blank
67
21
Three-way corner C: 4
Blank
Corner: 40
Blank
16
23
Corner: 12
Blank
56
Three-way corner D: 49
Alternate route from A to D:
Three-way corner A: 36
Blank
9
Corner: 51
Blank
13
Corner: 96
Blank
23
19
Corner: 81
Blank
3
Corner: 54
Blank
87
11
7
Corner: 72
Blank
14
5
Three-way corner D: 49
Blank
7
2
10
6
19
End
You might find it easier to print out this larger copy of the 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 turns?
What is the best route to take to do it in the least number of turns?
Which squares do you need to land on?
Printable NRICH Roadshow resource.