1. In mathematics, a way of writing a positive integer as a sum of positive integers, where the order of the summands does not matter
The integer partitions of 4 are: 4, 3+1, 2+2, 2+1+1, and 1+1+1+1
As partições de inteiro de 4 são: 4, 3+1, 2+2, 2+1+1 e 1+1+1+1
2. A formal decomposition of a positive integer into a multiset of positive integers
The number of integer partitions of 5 is 7
O número de partições de inteiro de 5 é 7
This is a specialized mathematical term primarily used in academic and scientific contexts in both Brazil and Portugal. It is fundamental in combinatorics and number theory, and appears regularly in mathematical research and university-level mathematics courses. The concept has no colloquial or cultural significance outside of academic mathematics.