factorisation vs resolving

factorisation and resolving both are nouns.

Word	Noun	Adjective	Verb	Adverb
factorisation	Yes	No	No	No
resolving	Yes	No	No	No

As nouns, resolving is a hypernym of factorisation; that is, resolving is a word with a broader meaning than factorisation:

factorisation: (mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression
resolving: analysis into clear-cut components

Other hypernyms of factorisation include resolution.

factorisation (noun)	resolving (noun)
(mathematics) the resolution of an expression into factors such that when multiplied together they give the original expression	analysis into clear-cut components