factorizar

Portuguese

Pronunciation

• Hyphenation: fac‧to‧ri‧zar

Verb

factorizar (first-person singular present factorizo, first-person singular preterite factorizei, past participle factorizado)

1. pre-reform spelling (used until 1943 in Brazil and 1990 in Portugal) of fatorizar; still used where the agreement hasn’t come into effect and may occur as a sporadic misspelling

Conjugation

    Conjugation of factorizar (See Appendix:Portuguese verbs)

	Singular			Plural
	First-person (eu)	Second-person (tu)	Third-person (ele / ela / você)	First-person (nós)	Second-person (vós)	Third-person (eles / elas / vocês)
Infinitive
Impersonal	factorizar
Personal	factorizar	factorizares	factorizar	factorizarmos	factorizardes	factorizarem
Gerund
	factorizando
Past participle
Masculine	factorizado			factorizados
Feminine	factorizada			factorizadas
Indicative
Present	factorizo	factorizas	factoriza	factorizamos	factorizais	factorizam
Imperfect	factorizava	factorizavas	factorizava	factorizávamos	factorizáveis	factorizavam
Preterite	factorizei	factorizaste	factorizou	factorizamos1, factorizámos2	factorizastes	factorizaram
Pluperfect	factorizara	factorizaras	factorizara	factorizáramos	factorizáreis	factorizaram
Future	factorizarei	factorizarás	factorizará	factorizaremos	factorizareis	factorizarão
Conditional	factorizaria	factorizarias	factorizaria	factorizaríamos	factorizaríeis	factorizariam
Subjunctive
Present	factorize	factorizes	factorize	factorizemos	factorizeis	factorizem
Imperfect	factorizasse	factorizasses	factorizasse	factorizássemos	factorizásseis	factorizassem
Future	factorizar	factorizares	factorizar	factorizarmos	factorizardes	factorizarem
Imperative
Affirmative		factoriza	factorize	factorizemos	factorizai	factorizem
Negative (não)		não factorizes	não factorize	não factorizemos	não factorizeis	não factorizem

¹Brazilian Portuguese.
²European Portuguese.

Further reading

• “factorizar”, in Dicionário Priberam da Língua Portuguesa (in Portuguese), Lisbon: Priberam, 2008–2026

Spanish

Etymology

Etymology tree

Spanish factor

Proto-Indo-European *-id-

Proto-Indo-European *-yéti

Proto-Indo-European *-idyéti

Proto-Hellenic *-íďďō

Ancient Greek -ῐ́ζω (-ĭ́zō)bor.

Late Latin -izōlbor.

Old Spanish -izar

Spanish -izar

Spanish factorizar

From factor + -izar.

Pronunciation

• IPA^(key): /faɡtoɾiˈθaɾ/ [faɣ̞.t̪o.ɾiˈθaɾ] (Equatorial Guinea, Spain)
• IPA^(key): /faɡtoɾiˈsaɾ/ [faɣ̞.t̪o.ɾiˈsaɾ] (Latin America, Philippines)
• Rhymes: -aɾ
• Syllabification: fac‧to‧ri‧zar

Verb

factorizar (first-person singular present factorizo, first-person singular preterite factoricé, past participle factorizado)

1. (mathematics) to factorize

Conjugation

    Conjugation of factorizar (c-z alternation) (See Appendix:Spanish verbs)

infinitive			factorizar
gerund			factorizando
past participle				masculine		feminine
		singular		factorizado		factorizada
		plural		factorizados		factorizadas
		singular			plural
		1st person	2nd person	3rd person	1st person	2nd person	3rd person
indicative		yo	tú vos	él/ella/ello usted	nosotros nosotras	vosotros vosotras	ellos/ellas ustedes
	present	factorizo	factorizastú factorizásvos	factoriza	factorizamos	factorizáis	factorizan
	imperfect	factorizaba	factorizabas	factorizaba	factorizábamos	factorizabais	factorizaban
	preterite	factoricé	factorizaste	factorizó	factorizamos	factorizasteis	factorizaron
	future	factorizaré	factorizarás	factorizará	factorizaremos	factorizaréis	factorizarán
	conditional	factorizaría	factorizarías	factorizaría	factorizaríamos	factorizaríais	factorizarían
subjunctive		yo	tú vos	él/ella/ello usted	nosotros nosotras	vosotros vosotras	ellos/ellas ustedes
	present	factorice	factoricestú factoricésvos2	factorice	factoricemos	factoricéis	factoricen
	imperfect (ra)	factorizara	factorizaras	factorizara	factorizáramos	factorizarais	factorizaran
	imperfect (se)	factorizase	factorizases	factorizase	factorizásemos	factorizaseis	factorizasen
	future1	factorizare	factorizares	factorizare	factorizáremos	factorizareis	factorizaren
imperative		—	tú vos	usted	nosotros nosotras	vosotros vosotras	ustedes
	affirmative		factorizatú factorizávos	factorice	factoricemos	factorizad	factoricen
	negative		no factorices	no factorice	no factoricemos	no factoricéis	no factoricen

¹Rare; now chiefly used in legal language.
²Argentine and Uruguayan voseo prefers the tuteo-form for the present subjunctive.

    Selected combined forms of factorizar (c-z alternation)

These forms are generated automatically and may not actually be used. Pronoun usage varies by region.

		singular			plural
		1st person	2nd person	3rd person	1st person	2nd person	3rd person
with infinitive factorizar	dative	factorizarme	factorizarte	factorizarle, factorizarse	factorizarnos	factorizaros	factorizarles, factorizarse
	accusative	factorizarme	factorizarte	factorizarlo, factorizarla, factorizarse	factorizarnos	factorizaros	factorizarlos, factorizarlas, factorizarse
with gerund factorizando	dative	factorizándome	factorizándote	factorizándole, factorizándose	factorizándonos	factorizándoos	factorizándoles, factorizándose
	accusative	factorizándome	factorizándote	factorizándolo, factorizándola, factorizándose	factorizándonos	factorizándoos	factorizándolos, factorizándolas, factorizándose
with informal second-person singular tuteo imperative factoriza	dative	factorízame	factorízate	factorízale	factorízanos	not used	factorízales
	accusative	factorízame	factorízate	factorízalo, factorízala	factorízanos	not used	factorízalos, factorízalas
with informal second-person singular voseo imperative factorizá	dative	factorizame	factorizate	factorizale	factorizanos	not used	factorizales
	accusative	factorizame	factorizate	factorizalo, factorizala	factorizanos	not used	factorizalos, factorizalas
with formal second-person singular imperative factorice	dative	factoríceme	not used	factorícele, factorícese	factorícenos	not used	factoríceles
	accusative	factoríceme	not used	factorícelo, factorícela, factorícese	factorícenos	not used	factorícelos, factorícelas
with first-person plural imperative factoricemos	dative	not used	factoricémoste	factoricémosle	factoricémonos	factoricémoos	factoricémosles
	accusative	not used	factoricémoste	factoricémoslo, factoricémosla	factoricémonos	factoricémoos	factoricémoslos, factoricémoslas
with informal second-person plural imperative factorizad	dative	factorizadme	not used	factorizadle	factorizadnos	factorizaos	factorizadles
	accusative	factorizadme	not used	factorizadlo, factorizadla	factorizadnos	factorizaos	factorizadlos, factorizadlas
with formal second-person plural imperative factoricen	dative	factorícenme	not used	factorícenle	factorícennos	not used	factorícenles, factorícense
	accusative	factorícenme	not used	factorícenlo, factorícenla	factorícennos	not used	factorícenlos, factorícenlas, factorícense

Related terms

• factorización
• hacer

Further reading

• “factorizar”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.8.1, Royal Spanish Academy [Spanish: Real Academia Española], 15 December 2025