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Answer for the clue "(mathematics) the resolution of an integer or polynomial into factors such that when multiplied together they give the integer or polynomial ", 13 letters:
factorization

Word definitions for factorization in dictionaries

Wiktionary Word definitions in Wiktionary
alt. 1 (context mathematics English): The process of create a list of factors. 2 (context mathematics English): An expression listing items that, when multiply together, will produce a desired quantity. 3 A list of factors. n. 1 (context mathematics English): ...

WordNet Word definitions in WordNet
n. (mathematics) the resolution of an integer or polynomial into factors such that when multiplied together they give the integer or polynomial [syn: factorisation , factoring ]

Wikipedia Word definitions in Wikipedia
In mathematics , factorization ( also factorisation in some forms of British English ) or factoring is the decomposition of an object (for example, a number , a polynomial , or a matrix ) into a product of other objects, or factors , which when multiplied ...

Usage examples of factorization.

I was thinking of taking a look at partition theory and prime factorization of parts of the array.