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Partition Calculator

Calculate the number of integer partitions for any number. Find all ways to write n as a sum of positive integers with listed partitions.

p(10) — Number of Partitions

42

Number of ways to write 10 as a sum of positive integers

Partitions

10
9 + 1
8 + 2
8 + 1 + 1
7 + 3
7 + 2 + 1
7 + 1 + 1 + 1
6 + 4
6 + 3 + 1
6 + 2 + 2
6 + 2 + 1 + 1
6 + 1 + 1 + 1 + 1
5 + 5
5 + 4 + 1
5 + 3 + 2
5 + 3 + 1 + 1
5 + 2 + 2 + 1
5 + 2 + 1 + 1 + 1
5 + 1 + 1 + 1 + 1 + 1
4 + 4 + 2
... and 22 more