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English

nonfactorability

|non-fac-tor-a-bil-i-ty|

C2

🇺🇸

/ˌnɑn.fæk.tə.rəˈbɪl.ə.ti/

🇬🇧

/ˌnɒn.fæk.tə.rəˈbɪl.ə.ti/

not able to be factored

Etymology
Etymology Information

'nonfactorability' originates from Modern English, specifically the elements 'non-' and 'factorability', where 'non-' meant 'not' and 'factorability' meant 'capability of being factored'.

Historical Evolution

'factorability' developed from the noun 'factor' plus the suffix '-ability'; 'factor' comes from Latin 'factor' (from 'facere'), and the compound 'non-' + 'factorability' produced the modern coinage 'nonfactorability'.

Meaning Changes

Initially it meant 'not capable of being factored', and over time it has retained this specialized mathematical meaning of 'unable to be factored'.

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Meanings by Part of Speech

Noun 1

the property or state of being not factorable; the inability of an expression, polynomial, integer, or other mathematical object to be written as a product of simpler nontrivial factors.

The nonfactorability of the polynomial over the rationals was established by the argument.

Synonyms

irreducibilitynonfactorizabilitynonfactorizability

Antonyms

Last updated: 2026/01/20 08:29

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