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.