# divisor
## English

* PIE word
* *dwóh₁

### Pronunciation

* (UK) IPA: /dɪˈvaɪ.zə(ɹ)/
* (US) enPR: dĭ-vīʹ-zər, IPA: /dɪˈvaɪ.zɚ/
* Audio (US):(file)
** Homophone: diviser
* Rhymes: -aɪzə(ɹ)

### Noun

divisor (plural divisors)
* (arithmetic) In an expression involving division, the number by which another number is being divided.
    In "42 ÷ 3" the divisor is the 3.
* 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.
** (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.
* (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.
** (in the study of Riemann surfaces) An element of the free abelian group on the points of the space.
** (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).
** (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
### 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) = (power)
* root extraction:
    √ (radicand) = (root)
* logarithmization:
    log$_{(base)}$ (antilogarithm) = (logarithm)
Advanced hyperoperations: tetration, pentation, hexation

### Anagrams

* Vidrios, viroids

## Catalan
### Etymology

Borrowed from Latin dīvīsōrem.

### Pronunciation

* IPA: (Central) [di.βiˈzo]
* IPA: (Balearic) [di.viˈzo]
* IPA: (Valencia) [di.viˈzoɾ]

### Noun

divisor m (plural divisors)
* (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)
* (number theory) divisor

#### Declension
## Latin
### Pronunciation

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

### Noun

dīvīsor m (genitive dīvīsōris); third declension
* divider
* distributor (especially of bribes)

#### Declension

Third-declension noun.

#### 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: /d͡ʒi.viˈzoʁ/ [d͡ʒi.viˈzoh]
* (Brazil) IPA: /d͡ʒi.viˈzoʁ/ [d͡ʒi.viˈzoh]
** (São Paulo) IPA: /d͡ʒi.viˈzoɾ/
** (Rio de Janeiro) IPA: /d͡ʒi.viˈzoʁ/ [d͡ʒi.viˈzoχ]
** (Southern Brazil) IPA: /d͡ʒi.viˈzoɻ/
* (Portugal) IPA: /di.viˈzoɾ/
* (Portugal) IPA: /di.viˈzoɾ/
** (Northern Portugal) IPA: /di.biˈzoɾ/ [di.βiˈzoɾ]
** (Southern Portugal) IPA: /di.viˈzo.ɾi/
* Hyphenation: di‧vi‧sor

### Noun

divisor m (plural divisores)
* (arithmetic) divisor

#### Related terms

* dividendo
* dividido
* dividir
* divisão

## Spanish
### Etymology

From Latin divisor.

### Pronunciation

* IPA: /dibiˈsoɾ/ [d̪i.β̞iˈsoɾ]
* Rhymes: -oɾ
* Syllabification: di‧vi‧sor

### Adjective

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

### Noun

divisor m (plural divisores)
* (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 23.8, Royal Spanish Academy [Spanish: Real Academia Española], 2024 December 10