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Meaning of "prime factor" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF PRIME FACTOR

prime factor  [praɪm ˈfæktə] play
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GRAMMATICAL CATEGORY OF PRIME FACTOR

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Prime factor is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES PRIME FACTOR MEAN IN ENGLISH?

Prime factor

In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The prime factorization of a positive integer is a list of the integer's prime factors, together with their multiplicities; the process of determining these factors is called integer factorization. The fundamental theorem of arithmetic says that every positive integer has a single unique prime factorization. To shorten prime factorizations, factors are often expressed in powers. For example, in which the factors 2, 3 and 5 have multiplicities of 3, 2 and 1, respectively. For a prime factor p of n, the multiplicity of p is the largest exponent a for which pa divides n exactly. For a positive integer n, the number of prime factors of n and the sum of the prime factors of n are examples of arithmetic functions of n that are additive but not completely additive.

Definition of prime factor in the English dictionary

The definition of prime factor in the dictionary is any number in the set of prime numbers that is also a factor of a given integer.

WORDS THAT RHYME WITH PRIME FACTOR


acta
ˈæktə
actor
ˈæktə
benefactor
ˈbɛnɪˌfæktə
calefactor
ˌkælɪˈfæktə
chiropractor
ˈkaɪərəpræktə
cofactor
ˈkəʊˌfæktə
compactor
kəmˈpæktə
contactor
kɒnˈtæktə
contractor
ˈkɒntræktə
exacta
ɪkˈsæktə
extractor
ɪkˈstræktə
factor
ˈfæktə
malefactor
ˈmælɪˌfæktə
multifactor
ˌmʌltɪˈfæktə
nonfactor
ˌnɒnˈfæktə
reactor
rɪˈæktə
redactor
rɪˈdæktə
reenactor
ˌriːɪnˈæktə
subcontractor
ˌsʌbkənˈtræktə
tractor
ˈtræktə

WORDS THAT BEGIN LIKE PRIME FACTOR

prime
prime bill
prime cost
prime focus
prime meridian
prime minister
prime ministerial
prime ministership
prime ministry
prime mover
prime number
prime rate
prime time
prime vertical
prime-time
primely
primeness
primer
primero
primers

WORDS THAT END LIKE PRIME FACTOR

abstractor
Caterpillar tractor
child actor
coagulation factor
contributing factor
director
distractor
feel-good factor
fusion reactor
growth factor
heavy-water reactor
nerve growth factor
nuclear reactor
power factor
protection factor
Q factor
risk factor
screen actor
supporting actor
wow factor
X factor

Synonyms and antonyms of prime factor in the English dictionary of synonyms

SYNONYMS

Translation of «prime factor» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF PRIME FACTOR

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

Translator English - Chinese

主要因素
1,325 millions of speakers

Translator English - Spanish

factor primordial
570 millions of speakers

English

prime factor
510 millions of speakers

Translator English - Hindi

प्रधानमंत्री कारक
380 millions of speakers
ar

Translator English - Arabic

العامل الرئيسي
280 millions of speakers

Translator English - Russian

главным фактором
278 millions of speakers

Translator English - Portuguese

fator primordial
270 millions of speakers

Translator English - Bengali

মৌলিক উত্পাদক
260 millions of speakers

Translator English - French

facteur premier
220 millions of speakers

Translator English - Malay

Faktor utama
190 millions of speakers

Translator English - German

Hauptfaktor
180 millions of speakers

Translator English - Japanese

素因数
130 millions of speakers

Translator English - Korean

소인수
85 millions of speakers

Translator English - Javanese

Faktor utama
85 millions of speakers
vi

Translator English - Vietnamese

yếu tố chính
80 millions of speakers

Translator English - Tamil

பிரதான காரணி
75 millions of speakers

Translator English - Marathi

मुख्य घटक
75 millions of speakers

Translator English - Turkish

Birinci faktör
70 millions of speakers

Translator English - Italian

fattore primo
65 millions of speakers

Translator English - Polish

głównym czynnikiem
50 millions of speakers

Translator English - Ukrainian

головним чинником
40 millions of speakers

Translator English - Romanian

prim factor
30 millions of speakers
el

Translator English - Greek

πρωταρχικός παράγοντας
15 millions of speakers
af

Translator English - Afrikaans

eerste faktor
14 millions of speakers
sv

Translator English - Swedish

främsta faktorn
10 millions of speakers
no

Translator English - Norwegian

prime faktor
5 millions of speakers

Trends of use of prime factor

TRENDS

TENDENCIES OF USE OF THE TERM «PRIME FACTOR»

The term «prime factor» is regularly used and occupies the 74.277 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
66
/100
The map shown above gives the frequency of use of the term «prime factor» in the different countries.
Principal search tendencies and common uses of prime factor
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «prime factor».

FREQUENCY OF USE OF THE TERM «PRIME FACTOR» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «prime factor» during the past 500 years. Its implementation is based on analysing how often the term «prime factor» 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 prime factor

EXAMPLES

10 ENGLISH BOOKS RELATING TO «PRIME FACTOR»

Discover the use of prime factor in the following bibliographical selection. Books relating to prime factor and brief extracts from same to provide context of its use in English literature.
1
Prime Numbers: A Computational Perspective
This book concentrates on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given number. It includes over 100 explicit algorithms cast in detailed pseudocode.
Richard Crandall, Carl B. Pomerance, 2006
2
Prime Numbers: The Most Mysterious Figures in Math
The next record-breaking difference is between the peaks at σ(108) = 280 and σ( 120) = 360. prime factors • The probability that the greatest prime factor of a random integer n is greater than n is log 2. • The probability that a number N, chosen ...
David Wells, 2011
3
Cryptanalysis of Number Theoretic Ciphers
We need it, together with the size of the second largest prime factor of n, to estimate the complexity of the trial division algorithm in the previous section. DEFINITION 4.4 A positive integer n is called y-smooth if all of its prime factors are < y.
Samuel S. Wagstaff, Jr., 2002
4
Arithmetic for Teachers: With Applications and Topics from ...
16 21 24 2 a common prime factor of 16 and 24 8 21 12 16/2 and 24/2. 2 again a common prime factor 4 21 6 8/2 and 12/2. 2 again a common prime factor 2 21 3 4/2 and 6/2. 3 a common prime factor 1 21/3 and 3/3. No more common prime ...
Gary R. Jensen
5
Coherence and Non-commutative Diagrams in Closed Categories
factor of PN, = N' is a prime factor of K (resp.L). The cases where at least one of [ Q,M] and [Q',M'] is a prime factor of L (with the corresponding consequence about the prime factors of N or N') are impossible because they imply (as we can ...
Rodiani Voreadou, 1977
6
Set Theory and Logic
As an illustration of a proof by strong induction we prove the theorem that every integer greater than 1 has a prime factor, starting the induction with 2. Obviously 2 has a prime factor. Assume the theorem for all m with 2 § m § n and consider n + ...
Robert R. Stoll, 2012
7
Primality Testing and Integer Factorization in Public-Key ...
Since 1 < 11 < 187, 11 is a (prime) factor of 187. In fact, 187 = 11-17. Example 3.3 .2. To factor n = 7560636089, we calculate kP = fc(l,3) with k = lcm(l, 2, 3, . . . , 19) on y2 = a;3 - x + 7 (mod n): 3P = (1329185554, 395213649) 6P = (646076693, ...
Song Y. Yan, 2004
8
Edexcel GCSE Modular Mathematics Examples and Practice: ...
1.1 Prime factor decomposition, HCF and LCM Example 1 Express 1008 as the product of its prime factors. 1008 / \ 8 x 126 / I 2x2x2 x 2x63 I I 23 x 2x7x9 = 24 x 32 x 7 Prime factor decomposition is a good way of finding the HCF (highest ...
‎2001
9
Solutions Teacher Planning Pack Extension
The prime factor decomposition of a number is the number written as a product of primes. There is only one possible prime factor decomposition of every number. Common multiples of numbers are multiples shared by these numbers.
David Baker, David Baker Paul Hogan Graham Macphail Steve Lomax Simon A Longman Matthew Nixon Peter Sherran, 2005
10
Handbook of Applied Cryptography
In general, if the factors found at each stage are tested for primality, then trial division to factor n completely takes 0(p + lgn) divisions, where p is the second- largest prime factor of n. Fact 3.7 indicates that if trial division is used to factor a ...
Alfred J. Menezes, Paul C. van Oorschot, Scott A. Vanstone, 1996

10 NEWS ITEMS WHICH INCLUDE THE TERM «PRIME FACTOR»

Find out what the national and international press are talking about and how the term prime factor is used in the context of the following news items.
1
Blessie case highlights issue of condition breaches
He said those under the ESO regime needed support on release to avoid isolation - a prime factor in re-offending. "The problem with ... «Otago Daily Times, Jul 15»
2
Pa. slot payout rate increases for a change
He and Steve Gallaway, the company's other founding partner, say overuse of free play is a prime factor because it gets counted with ... «Tribune-Review, Jul 15»
3
Do Academics require Leadership Training?
The prime factor that contributes to this problem is the inadequacy in leadership. Leaders should inspire their time to achieve clearly expressed ... «Biotechin.Asia, Jul 15»
4
Madison County hits all-time high in heroin overdose deaths
... one illicit drug (methamphetamine) death and two other cases where drugs were the contributory factor but not the prime factor in the deaths. «Belleville News-Democrat, Jul 15»
5
Push To Rebuild Dunes Continues
The prime factor that was a major contributor to the vast destruction suffered by Ortley Beach was Toms River's lack of providing proper beach ... «Micromedia Publications, Jul 15»
6
Mexican Immigration in the US Has Decreased by 50 Percent
The recession in the United States between 2007 and 2009 appears to be the prime factor. The slowing US economy generated fewer jobs, ... «The Cubic Lane, Jul 15»
7
European Commission Accuses Hollywood Studios Of Possible …
According to Commission President Jean-Claude Juncker, the fragmented sales practice is a prime factor holding back the digital economy in ... «International Business Times, Jul 15»
8
'Globalisation Opens The Door to Diseases'
Talking on bio-terrorism the academician from Kings College London here the other day said that globalisation is a prime factor responsible for ... «The New Indian Express, Jul 15»
9
The Role of Disarmament, Demobilization and Reintegration (DDR …
A second shift is from socio-economic reintegration as the prime factor for successful DDR towards social reintegration as a precondition to ... «ISN, Jul 15»
10
Casey: More on the battle flag — and the cause of the Civil War
Some disputes will never die. One of them is the cause of America's Civil War. The conventional wisdom is that slavery was a prime factor, but ... «Roanoke Times, Jul 15»

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