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Factorization in Irish (Fachtóiriú): Meaning, Pronunciation, Usage

The Irish for factorization is fachtóiriú, a masculine noun. Ag fachtóiriú is factorizing, from the verb fachtóirigh.
Updated October 2026Report a mistake

How to say “factorization” in Irish

Irish:
fachtóiriú
English:
factorization
Word type:
noun (verbal noun)
Verbal noun of:
fachtóirigh, to factorize (ag fachtóiriú, factorizing)
Gender:
masculine
Pronunciation:
“FAKH-toh-roo”  /ˈfaxt̪oːɾʲuː/
Various forms
Genitive singular:
fachtóirithe, an fhachtóirithe (e.g. modh fachtóirithe, method of factorization)

What does “fachtóiriú” mean?

factorization
The act of breaking a number or algebraic expression into factors; it is the verbal noun of the verb fachtóirigh.Also: factorisation, factorizing, factoring.

“Fachtóiriú” as a verbal noun

After ag, fachtóiriú means factorizing: it is the verbal noun of the verb fachtóirigh (to factorize). A noun that follows it goes into the genitive.

agat
+
fachtóiriúverbal noun
=
ag fachtóiriúfactorizing

“Fachtóiriú” with the article

Here is fachtóiriú after the article (an t-alt).

an fachtóiriú
the factorization
No change after an

“Fachtóiriú” in a sentence: Irish examples

Common Irish sentences using fachtóiriú, the Irish word for factorization.

Tá fachtóiriú ar an gcúrsa matamaitice i mbliana.
Factorization is on the maths course this year.
Mhínigh an múinteoir an fachtóiriú go soiléir.
The teacher explained factorization clearly.
Is maith liom ceisteanna fachtóirithe.
I like factorization questions.
Rinne mé botún i m'fhachtóiriú.
I made a mistake in my factorization.
Bhí deacracht agam leis an bhfachtóiriú sa scrúdú.
I had difficulty with the factorization in the exam.
Tá fachtóiriú uimhreacha príomha úsáideach.
Prime factorization of numbers is useful.
Seiceáil an fachtóiriú trí na lúibíní a iolrú.
Check the factorization by multiplying out the brackets.

Other nouns in Irish

More everyday Irish nouns to learn next.

Factorization in Irish: frequently asked questions

What is the Irish for factorization?

The Irish for factorization is fachtóiriú (pronounced “FAKH-toh-roo”). It’s a masculine noun.

How do you pronounce fachtóiriú in Irish?

Fachtóiriú is said like “FAKH-toh-roo” (IPA /ˈfaxt̪oːɾʲuː/).

Does fachtóiriú have a plural?

No plural form is given for fachtóiriú in the standard. Many abstract and mass nouns in Irish have no plural.

Why does fachtóiriú change to fhachtóiriú or bhfachtóiriú?

Irish changes the start of some words after certain words. After mo (my) fachtóiriú becomes m'fhachtóiriú (lenition), and after ár (our) or i (in) it becomes ár bhfachtóiriú (eclipsis).

What is the verb related to fachtóiriú?

The verb is fachtóirigh, 'to factorize', as in 'Fachtóirigh an slonn seo', 'Factorize this expression'. The noun for a single factor is fachtóir.

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