# Definition(s) > [!NOTE] Definition 1 \[MA241\] > An integer partition (or partition) of a [[Natural Numbers|natural number]] $n$ is a way of writing $n$ as a sum of positive natural numbers up to rearrangements of summands. > > We call the summands parts. > [!Example] Example > There are $7$ integer partitions of $5$ $\begin{gathered} 5, & 4+1, & 3+2, & 3+1+1, & 2+2+1, &2+1+1+1, &1+1+1+1+1. \end{gathered}$ # Properties(s) # Application(s) # Reference(s)