Factors and multiples graphs
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
Age
16 to 18
Challenge level
You might like to play the factors and multiples game before attempting this investigation, which can be taken to many levels of complexity.
Write down a selection of positive whole numbers less than 100 in some positions of your choice on a large blank piece of paper.
Now, draw lines (not necessarily straight) which join each number in the selection with all of the factors and multiples of the number in the selection.
For your selection and arrangement of numbers, can you draw lines so that none cross?
Explore!
In this example, Steve chose the numbers $2, \dots, 10$ and was able to link the factor and multiple pairs without lines crossing.
Image
We received this very well-explained solution from Michael. Well done!