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Meaning of "factorize" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF FACTORIZE

factorize  [ˈfæktəˌraɪz] play
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GRAMMATICAL CATEGORY OF FACTORIZE

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Factorize is a verb.
The verb is the part of the sentence that is conjugated and expresses action and state of being.

See the conjugation of the verb factorize in English.

WHAT DOES FACTORIZE MEAN IN ENGLISH?

factorize

Factorization

In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x2 − 4 factors as. In all cases, a product of simpler objects is obtained. The aim of factoring is usually to reduce something to “basic building blocks”, such as numbers to prime numbers, or polynomials to irreducible polynomials. Factoring integers is covered by the fundamental theorem of arithmetic and factoring polynomials by the fundamental theorem of algebra. Viète's formulas relate the coefficients of a polynomial to its roots. The opposite of polynomial factorization is expansion, the multiplying together of polynomial factors to an “expanded” polynomial, written as just a sum of terms. Integer factorization for large integers appears to be a difficult problem. There is no known method to carry it out quickly. Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA.

Definition of factorize in the English dictionary

The definition of factorize in the dictionary is to resolve into factors.

CONJUGATION OF THE VERB TO FACTORIZE

PRESENT

Present
I factorize
you factorize
he/she/it factorizes
we factorize
you factorize
they factorize
Present continuous
I am factorizing
you are factorizing
he/she/it is factorizing
we are factorizing
you are factorizing
they are factorizing
Present perfect
I have factorized
you have factorized
he/she/it has factorized
we have factorized
you have factorized
they have factorized
Present perfect continuous
I have been factorizing
you have been factorizing
he/she/it has been factorizing
we have been factorizing
you have been factorizing
they have been factorizing
Present tense is used to refer to circumstances that exist at the present time or over a period that includes the present time. The present perfect refers to past events, although it can be considered to denote primarily the resulting present situation rather than the events themselves.

PAST

Past
I factorized
you factorized
he/she/it factorized
we factorized
you factorized
they factorized
Past continuous
I was factorizing
you were factorizing
he/she/it was factorizing
we were factorizing
you were factorizing
they were factorizing
Past perfect
I had factorized
you had factorized
he/she/it had factorized
we had factorized
you had factorized
they had factorized
Past perfect continuous
I had been factorizing
you had been factorizing
he/she/it had been factorizing
we had been factorizing
you had been factorizing
they had been factorizing
Past tense forms express circumstances existing at some time in the past,

FUTURE

Future
I will factorize
you will factorize
he/she/it will factorize
we will factorize
you will factorize
they will factorize
Future continuous
I will be factorizing
you will be factorizing
he/she/it will be factorizing
we will be factorizing
you will be factorizing
they will be factorizing
Future perfect
I will have factorized
you will have factorized
he/she/it will have factorized
we will have factorized
you will have factorized
they will have factorized
Future perfect continuous
I will have been factorizing
you will have been factorizing
he/she/it will have been factorizing
we will have been factorizing
you will have been factorizing
they will have been factorizing
The future is used to express circumstances that will occur at a later time.

CONDITIONAL

Conditional
I would factorize
you would factorize
he/she/it would factorize
we would factorize
you would factorize
they would factorize
Conditional continuous
I would be factorizing
you would be factorizing
he/she/it would be factorizing
we would be factorizing
you would be factorizing
they would be factorizing
Conditional perfect
I would have factorize
you would have factorize
he/she/it would have factorize
we would have factorize
you would have factorize
they would have factorize
Conditional perfect continuous
I would have been factorizing
you would have been factorizing
he/she/it would have been factorizing
we would have been factorizing
you would have been factorizing
they would have been factorizing
Conditional or "future-in-the-past" tense refers to hypothetical or possible actions.

IMPERATIVE

Imperative
you factorize
we let´s factorize
you factorize
The imperative is used to form commands or requests.
NONFINITE VERB FORMS
Infinitive
to factorize
Past participle
factorized
Present Participle
factorizing
Infinitive shows the action beyond temporal perspective. The present participle or gerund shows the action during the session. The past participle shows the action after completion.

WORDS THAT RHYME WITH FACTORIZE


catheterize
ˈkæθɪtəˌraɪz
cauterize
ˈkɔːtəˌraɪz
characterise
ˈkærɪktəˌraɪz
characterize
ˈkærɪktəˌraɪz
computerize
kəmˈpjuːtəˌraɪz
demilitarize
diːˈmɪlɪtəˌraɪz
factorise
ˈfæktəˌraɪz
militarise
ˈmɪlɪtəˌraɪz
militarize
ˈmɪlɪtəˌraɪz
mischaracterize
ˌmɪsˈkærɪktəˌraɪz
motorise
ˈməʊtəˌraɪz
motorize
ˈməʊtəˌraɪz
notarize
ˈnəʊtəˌraɪz
parameterize
pəˈræmɪtəˌraɪz
pasteurize
ˈpæstəˌraɪz
posterize
ˈpəʊstəˌraɪz
rasterize
ˈræstəˌraɪz
satirize
ˈsætəˌraɪz
vectorize
ˈvektəˌraɪz
winterize
ˈwɪntəˌraɪz

WORDS THAT BEGIN LIKE FACTORIZE

factorability
factorable
factorage
factorial
factorially
factories
factoring
factorisation
factorise
factorization
factorship
factory
Factory Acts
factory chimney
factory farm
factory farming
factory floor
factory hand
factory inspector
factory outlet

WORDS THAT END LIKE FACTORIZE

accessorize
authorize
categorize
colorize
contemporize
decolorize
deodorize
extemporize
glamorize
memorize
phosphorize
pillorize
prize
reauthorize
rhetorize
sororize
temporize
terrorize
theorize
valorize
vaporize

Synonyms and antonyms of factorize in the English dictionary of synonyms

SYNONYMS

Translation of «factorize» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF FACTORIZE

Find out the translation of factorize to 25 languages with our English multilingual translator.
The translations of factorize from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «factorize» in English.

Translator English - Chinese

因式分解
1,325 millions of speakers

Translator English - Spanish

factorize
570 millions of speakers

English

factorize
510 millions of speakers

Translator English - Hindi

गुणनखंड
380 millions of speakers
ar

Translator English - Arabic

factorize
280 millions of speakers

Translator English - Russian

факторизуются
278 millions of speakers

Translator English - Portuguese

fatorar
270 millions of speakers

Translator English - Bengali

গুণনীয়ক নির্ণয় করা
260 millions of speakers

Translator English - French

factoriser
220 millions of speakers

Translator English - Malay

Faktorkan
190 millions of speakers

Translator English - German

factorize
180 millions of speakers

Translator English - Japanese

因数分解
130 millions of speakers

Translator English - Korean

인수 분해
85 millions of speakers

Translator English - Javanese

Factorize
85 millions of speakers
vi

Translator English - Vietnamese

động lực
80 millions of speakers

Translator English - Tamil

காரணிப்படுத்தும்
75 millions of speakers

Translator English - Marathi

गुणक
75 millions of speakers

Translator English - Turkish

çarpanlara ayırmak
70 millions of speakers

Translator English - Italian

factorize
65 millions of speakers

Translator English - Polish

na czynniki
50 millions of speakers

Translator English - Ukrainian

факторізуются
40 millions of speakers

Translator English - Romanian

factorize
30 millions of speakers
el

Translator English - Greek

ΠΑΡΑΓΟΝΤΟΠΟΙΗΣΤΕ
15 millions of speakers
af

Translator English - Afrikaans

ontbind in faktore
14 millions of speakers
sv

Translator English - Swedish

faktorisera
10 millions of speakers
no

Translator English - Norwegian

faktor
5 millions of speakers

Trends of use of factorize

TRENDS

TENDENCIES OF USE OF THE TERM «FACTORIZE»

The term «factorize» is regularly used and occupies the 92.595 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
57
/100
The map shown above gives the frequency of use of the term «factorize» in the different countries.
Principal search tendencies and common uses of factorize
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «factorize».

FREQUENCY OF USE OF THE TERM «FACTORIZE» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «factorize» during the past 500 years. Its implementation is based on analysing how often the term «factorize» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about factorize

EXAMPLES

10 ENGLISH BOOKS RELATING TO «FACTORIZE»

Discover the use of factorize in the following bibliographical selection. Books relating to factorize and brief extracts from same to provide context of its use in English literature.
1
Grammatical Inference: Algorithms and Applications: 8th ...
Let X be a class of finite factorizing sets over S and X £ X a '.orizing set that can factorize S for some nonempty subset S of S* . X be the coarsest finite factorizing set in X that can factorize S iff, for X that can factorize S such that X' =/= X , it holds  ...
Yasibumi Sakaibara, 2006
2
Mathematics Class 10
Pearson. Concept Application Level— 1,2,3 Concept Application Level— 1,2,3 Key points for select questions 1. Factorize the given polynomials. The product of all the factors with highest exponents is LCM. 2. Factorize the given polynomials.
Pearson
3
Additional Mathematics: Pure & Applied
Find the value of a and of b and with these values factorize the cubic expression. 7 f(jc) =x3 + ax2 + bx + 4 and f(x) is exactly divisible by jc - 2. If the remainder is - 24 when f(x) is divided by x + 2, find the value of a and of b and hence factorize ...
J. F. Talbert, H. H. Heng, 1995
4
The IIT Foundation Series - Mathematics Class 10, 2/e
We have, P(x) Q(x) = LCM >< x2+ 12x+32=(x+8) (x+4) x2—7x+ 12 = (x—4) (x—3) 23. (i) Factorize the given polynomials. (ii) x2 — 2x = x(x — 2). x2—4= (x+2) (x—2 ). COIICCPT APP|iCGfi0n L€V¢|"'1-,2,3 24. (i) Factorize the given polynomials.
Trishna Knowledge Systems
5
Iit Foundations - Mathematics Class 8
Step 2: Now this product ac is to split into two factors m and n such that m + n is equal to the coefficient of x i.e., b. Step 3: Then we pair one of them, say mx, with ax2 and the other nx, with c and factorize. Examples (i) Factorize: 3x2 + 13x + 4 ...
Pearson, 2009
6
Shell Scripting: Expert Recipes for Linux, Bash and more
... GNU factor program displays all its output on. Available for downmadon Wroxtom $ cat factorize.sh #I/bin/bash function factorize { # echo "Parsing $0" if I " $#" —gt “1" I; then sum='expr $1 \* $2' echo "$1 x $2 = $sum" shift 2 factorize $ sum ...
Steve Parker, 2011
7
High Performance Algorithms for Structured Matrix Problems
In our tests, when doing subsequent factorizations we did not have to change the pivot sequence chosen by the initial matrix factorization. For most of our test problems, the fast factorize offered a significant saving for codes MA48 and MA38 .
Peter Arbenz, 1998
8
The A to Z of Mathematics: A Basic Guide
Difference of Two Squares The expressions we factorize are of the forma2 − b2, which factorizes into the two sets of brackets (a − b)(a + b). This can be expressed as a formula: a2−b2=(a−b)(a+b) The reason for the name “difference of two ...
Thomas H. Sidebotham, 2003
9
Digital Signal Processing Algorithms: Number Theory, ...
If 4 is a factor of «, then we proceed in the following manner: first, factorize C,,(n) over CF(AO and then use the recursion as outlined in Example 5.7 to represent the coefficients of the factor polynomials as elements in CCF(N). Alternately, one  ...
Hari Krishna, 1998
10
LAPACK Users' Guide: Third Edition
Table '2.7: Computational routines for linear equations Type of matrix Operation Single precision Double precision and storage scheme real complex real complex general factorize SGETRF CGETRF DGETRF ZGETRF solve using ...
E. Anderson, Z. Bai, C. Bischof, 1999

10 NEWS ITEMS WHICH INCLUDE THE TERM «FACTORIZE»

Find out what the national and international press are talking about and how the term factorize is used in the context of the following news items.
1
13 Of 2015's Hottest Topics In Computer Science Research
... for Matrix multiplication and Fourier transform,; building Quantum computers that can quickly factorize numbers into primes (Shor's algorithm), ... «Forbes, Apr 15»
2
Natuzzi's (NTZ) CEO Pasquale Natuzzi on Q4 2014 Results …
It's also important to highlight that this gradual improvement does not factorize yet those further positive contributions in terms of cost reduction, ... «Seeking Alpha, Mar 15»
3
CGG's (CGG) CEO Jean-Georges Malcor on Q4 2014 Results …
... at 86% further out at 70% threshold at business to be on the nice compare to our factorize program cash refunding for reaching 55% by 2014. «Seeking Alpha, Mar 15»
4
AnonCoin Review
Currently, we are in the process of attempting to factorize RSA UFO candidates for a trustless implementation of Zerocoin. We are expecting a release of our ... «CryptoCoinsNews, Jul 14»
5
WeatherTech Racing ready for a weekend at the Glen
I've never been to The Glen with Alex Job so really looking forward to being at one of my factorize events with such a good team. Cooper had a ... «Motorsport.com, Jun 14»
6
Saudi Arabia detains 62 alleged terror gang members
After struggle of many months actions the Saudi Authorities have seized bomb making factorize , equipments to carry out blast from modern ... «News Tribe, May 14»
7
Canada Pins Fresh Tech Hopes on Quantum Computing
“One of the standard tasks which one would like a quantum computer to do is to factorize large numbers; as far as I know D-Wave are no closer ... «Bloomberg, Jul 13»
8
Dwave Systems should have a 2048 qubit chip sometime in 2014 for …
O'Brien [he made the quantum computer that factored 15], who admits that his 4-year-old daughter can factorize 21 faster than his computer, ... «Next Big Future, Jun 13»
9
Computing : The quantum company
O'Brien, who admits that his 4-year-old daughter can factorize 21 faster than his computer, is optimistic about the future. “In 10 years' time, I'd ... «Nature.com, Jun 13»
10
Cramming on the Eve of the Exam
When he's in one of his fits (because we couldn't factorize a quadratic or understand some simple concept) he starts lambasting our education ... «News24, Jun 13»

REFERENCE
« EDUCALINGO. Factorize [online]. Available <https://educalingo.com/en/dic-en/factorize>. Apr 2024 ».
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