'factorisability' originates from English, specifically the word 'factorisable' combined with the suffix '-ity', where 'factor' (from Latin 'factor' ultimately from 'facere') meant 'maker' or 'to do/make' and the suffix '-ity' meant 'state or quality'.

'factorisability' changed from the Modern English formation 'factorisable' + '-ity' (a nominalizing suffix) and, under alternative spelling conventions influenced by Latin/Greek and American usage, also appears as 'factorizability', eventually becoming the modern English noun 'factorisability' (and its US variant 'factorizability').

Initially, the components conveyed 'the state of being able to be made into factors', and over time this consolidated into the current technical meaning 'the property of being expressible as a product of factors'.