divisor

See also: Divisor

English

PIE word
*dwóh₁

Pronunciation

• (UK) IPA^(key): /dɪˈvaɪ.zə(ɹ)/
• (US) enPR: dĭ-vīʹ-zər, IPA^(key): /dɪˈvaɪ.zɚ/

• Audio (US):

  (file)

  • Homophone: diviser
• Rhymes: -aɪzə(ɹ)

Noun

divisor (plural divisors)

1. (arithmetic) In an expression involving division, the number by which another number is being divided.

   In "42 ÷ 3" the divisor is the 3.

2. An integer that divides another integer an integral number of times, the former being called a divisor of the latter.

   10 is a divisor of 100, but not of 101.

   The positive divisors of 6 are 1, 2, 3 and 6.

   1. (algebra, more generally) A ring element which can be multiplied (by some other ring element) to yield a third ring element, the first being called a divisor of the third. If the ring is noncommutative, then one specifies whether a divisor is left, right, or two-sided.
3. (mathematics, algebraic geometry) Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces.
   1. (in the study of Riemann surfaces) An element of the free abelian group on the points of the space.
   2. (on a variety (or integral locally Noetherian scheme)) A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).
   3. (on a variety (or integral Noetherian scheme)) A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia

Derived terms

• divisor function
• divisorial
• greatest common divisor
• nondivisor
• proper divisor
• zero divisor

 

Translations

arithmetic: a number or expression

• Arabic: قَاسِم m (qāsim), مَقْسُوم عَلَيْهِ (maqsūm ʕalayhi)
• Armenian: բաժանարար (hy) (bažanarar)
• Belarusian: дзе́льнік m (dzjélʹnik)
• Bulgarian: дели́тел m (delítel)
• Catalan: divisor (ca)
• Cebuano: tigbahin
• Chinese:

  Mandarin: 除數／除数 (zh) (chúshù)

• Czech: dělitel m
• Dutch: deler (nl) m
• Esperanto: divizoro
• Estonian: jagaja
• Finnish: jakaja (fi)
• French: diviseur (fr) m
• Galician: divisor m
• Georgian: გამყოფი (gamq̇opi)
• German: Divisor (de) m, Teiler (de) m
• Greek: διαιρέτης (el) m (diairétis)
• Hungarian: osztó (hu)
• Icelandic: deilir m
• Indonesian: pembagi (id)
• Italian: divisore (it)
• Japanese: 除数 (ja) (じょすう, josū)
• Korean: 제수(除數) (ko) (jesu)
• Kyrgyz: бөлүүчү (ky) (bölüücü)
• Latvian: dalītājs m
• Lithuanian: daliklis m
• Macedonian: делител m (delitel)
• Malay: pembahagi
• Maori: tau whakawehe
• Norwegian:

  Bokmål: divisor (no) m

• Persian: مقسوم علیه (maqsum 'elayh), بخشیاب (fa) (baxšyâb)
• Polish: dzielnik (pl) m
• Portuguese: divisor (pt) m
• Romanian: divizor (ro) m, împărțitor (ro) m
• Russian: дели́тель (ru) m (delítelʹ)
• Serbo-Croatian:

  Cyrillic: дѐлитељ m, дјѐлитељ m

  Roman: dèlitelj m, djèlitelj (sh) m

• Slovak: deliteľ m
• Slovene: delitelj m
• Spanish: divisor (es)
• Swedish: divisor (sv) c
• Tagalog: pahati
• Turkish: bölen (tr)
• Ukrainian: дільни́к m (dilʹnýk)

integer that divides another integer an integral number of times

• Danish: divisor c
• Galician: divisor m
• German: Teiler (de) m
• Hungarian: osztó (hu)
• Japanese: 約数 (ja) (やくすう, yakusū)
• Korean: 약수(約數) (ko) (yaksu)
• Maori: tau whakawehe
• Polish: dzielnik (pl) m
• Romanian: divizor (ro) m
• Serbo-Croatian:

  Cyrillic: дѐлитељ m, дјѐлитељ m

  Roman: dèlitelj m, djèlitelj (sh) m

See also

Other terms used in arithmetic operations:

• successor
• addition, summation:

  (augend) + (addend) = (total)

  (summand) + (summand) + (summand)... = (sum)

• subtraction:

  (minuend) − (subtrahend) = (difference)

• multiplication, factorization:

  (multiplier) × (multiplicand) = (product)

  (factor) × (factor) × (factor)... = (product)

• division:

  (dividend) ÷ (divisor) = (quotient)

  (numerator) / (denominator) = (quotient)

  Or sometimes = (quotient) with (remainder) remaining

• exponentiation:

  (base) ^(exponent) = (power)

• root extraction:

  ^(degree) √ (radicand) = (root)

• logarithmization:

  log_(base) (antilogarithm) = (logarithm)

Advanced hyperoperations: tetration, pentation, hexation

Anagrams

• Vidrios, viroids

Catalan

Etymology

Borrowed from Latin dīvīsōrem.

Pronunciation

• IPA^(key): (Central) [di.βiˈzo]
• IPA^(key): (Balearic) [di.viˈzo]
• IPA^(key): (Valencia) [di.viˈzoɾ]

Noun

divisor m (plural divisors)

1. (arithmetic) divisor (number that another is to be divided by)

Related terms

• dividir

Further reading

• “divisor” in Diccionari de la llengua catalana, segona edició, Institut d’Estudis Catalans.

Danish

Noun

divisor c (singular definite divisoren, plural indefinite divisorer)

1. (number theory) divisor

Declension

Declension of divisor

common gender	Singular		Plural
	indefinite	definite	indefinite	definite
nominative	divisor	divisoren	divisorer	divisorerne
genitive	divisors	divisorens	divisorers	divisorernes

Latin

Pronunciation

• (Classical Latin) IPA^(key): /diːˈu̯iː.sor/, [d̪iːˈu̯iːs̠ɔr]
• (modern Italianate Ecclesiastical) IPA^(key): /diˈvi.sor/, [d̪iˈviːs̬or]

Noun

dīvīsor m (genitive dīvīsōris); third declension

1. divider
2. distributor (especially of bribes)

Declension

Third-declension noun.

	singular	plural
nominative	dīvīsor	dīvīsōrēs
genitive	dīvīsōris	dīvīsōrum
dative	dīvīsōrī	dīvīsōribus
accusative	dīvīsōrem	dīvīsōrēs
ablative	dīvīsōre	dīvīsōribus
vocative	dīvīsor	dīvīsōrēs

Descendants

• Catalan: divisor
• French: diviseur
• Galician: divisor
• Italian: divisore
• Occitan: divisor
• Portuguese: divisor
• Spanish: divisor

References

• “divisor”, in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
• “divisor”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
• divisor in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)
• divisor in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette.
• “divisor”, in Harry Thurston Peck, editor (1898), Harper's Dictionary of Classical Antiquities, New York: Harper & Brothers
• “divisor”, in William Smith et al., editor (1890), A Dictionary of Greek and Roman Antiquities, London: William Wayte. G. E. Marindin

Portuguese

Etymology

Borrowed from Latin dīvīsōrem.

Pronunciation

 

• (Brazil) IPA^(key): /d͡ʒi.viˈzoʁ/ [d͡ʒi.viˈzoh]

• (Brazil) IPA^(key): /d͡ʒi.viˈzoʁ/ [d͡ʒi.viˈzoh]
  • (São Paulo) IPA^(key): /d͡ʒi.viˈzoɾ/
  • (Rio de Janeiro) IPA^(key): /d͡ʒi.viˈzoʁ/ [d͡ʒi.viˈzoχ]
  • (Southern Brazil) IPA^(key): /d͡ʒi.viˈzoɻ/

 

• (Portugal) IPA^(key): /di.viˈzoɾ/

• (Portugal) IPA^(key): /di.viˈzoɾ/
  • (Northern Portugal) IPA^(key): /di.biˈzoɾ/ [di.βiˈzoɾ]
  • (Southern Portugal) IPA^(key): /di.viˈzo.ɾi/

• Hyphenation: di‧vi‧sor

Noun

divisor m (plural divisores)

1. (arithmetic) divisor

Related terms

• dividendo
• dividido
• dividir
• divisão

Spanish

Etymology

From Latin divisor.

Pronunciation

• IPA^(key): /dibiˈsoɾ/ [d̪i.β̞iˈsoɾ]
• Rhymes: -oɾ
• Syllabification: di‧vi‧sor

Adjective

divisor (feminine divisora, masculine plural divisores, feminine plural divisoras)

1. dividing

Noun

divisor m (plural divisores)

1. (arithmetic) divisor (number that another is to be divided by)

Derived terms

• máximo común divisor

 

Further reading

• “divisor”, in Diccionario de la lengua española [Dictionary of the Spanish Language] (in Spanish), online version 23.7, Royal Spanish Academy [Spanish: Real Academia Española], 2023 November 28