Factorisation is an important mathematical concept that involves breaking down a number or expression into its basic factors. There are a variety of synonyms for factorisation that can help expand our understanding of this process. Some of the most common synonyms for factorisation include decomposition, resolution, dissection, and deconstruction. Each of these terms refers to the process of breaking down a complex structure into its more basic components. Other synonyms for factorisation include factorising, factoring, factorization, and factoring out. All of these terms are important for anyone studying mathematics or working in a field where factorisation is a key concept.