Why do this problem?

This problem is a useful one when children are being introduced to, or continuing work, on multiples (and factors). It could be illustrated practically with real chairs and children holding numbered cards.

Key questions

Can you think of a good way to record this?

How about using counters numbered $1$ to $30$ or writing $1$ to $30$ on bits of paper and arranging them?

Can you think of a link to factors and multiples which may help?

Is $6$ a factor of $30$? Is $4$ a factor of $30$?

Possible extension

Learners could try with other numbers besides $6$ and $4$. If they find these problems straightforward they could try this problem about multiples and other sets of numbers.

Possible support

Many children will find it helpful to draw out the six chairs and use numbered counters (or numbered bits of paper) to find out what happens. Encourage quick recording before the bits of paper get blown away!