In how many ways can 16 fairy cakes be divided among children so that no child receives less than any other?

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### Solution

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.

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