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In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers. Two sums that differ only in the order of their summands are considered the same partition.

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Prime Factorization.

Prime factorization or integer factorization of a number is the determination of the set of prime numbers which multiply together to give the original integer. It is also known as prime decomposition.
See also Integer factorization