[InterceptPoint]

This may help.

From Wikipedia:

In number theory, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.

The partitions of 4 are listed below:

1. 4
2. 3 + 1
3. 2 + 2
4. 2 + 1 + 1
5. 1 + 1 + 1 + 1

[Moonman62]

Another way to think of partitioning is to represent a number with tally marks. For instance, the number ten could be represented as:

||||||||||

How many ways can those tally marks be grouped or partitioned, keeping the total number at ten?