English · Phrasal verb Attested

factor through

In real, traceable use. Part of the curated seed collection; community review is coming.

Both English Tiếng Việt

Meaning · English

Said of a morphism: to be equal to a composition of two morphisms, one of which is the given morphism (that is being said to be "factored through").

Nghĩa · Tiếng Việt

nói về một đồng cấu: bằng với thành phần của hai đồng cấu

Machine-translated — suggest a fix

Where it’s used: Used American English

LEMMA 16.3 An arrow f#58;A#92;rightarrowB is epic iff 1#95;B is the smallest sub-object of B that f factors through.

Usage example from English Wiktionary (CC BY-SA 4.0, retrieved 2026-07-30)

Sources & notes

Adapted from English Wiktionary (CC BY-SA 4.0, retrieved 2026-07-30 via kaikki.org).

Common questions

What does “factor through” mean?

Said of a morphism: to be equal to a composition of two morphisms, one of which is the given morphism (that is being said to be "factored through").

Is “factor through” formal or informal?

No register label has been reviewed yet — treat it as neutral and check the usage notes above.

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