In how many ways can 16 fairy cakes be divided among children so that no child receives less than any other?
The question doesn't say how many cake loving children we are helping, so we could be giving 16 fairy cakes to one child, i.e., 16 fairy cakes x 1 child.
There might be two children, so 8 fairy cakes x 2 children.
This is looking like a factors question.
The factors of 16 are 1,2,4,8,16.
So, the possibilities are:
- 16 fairy cakes x 1 child;
- 8 fairy cakes x 2 children;
- 4 fairy cakes x 4 children;
- 2 fairy cakes x 8 children;
- 1 rupee x 16 children.
So there are five ways we could divide the fairy cakes.