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Journal articles on the topic 'Factoring'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Guy, Richard K., and John L. Selfridge. "Factoring Factorial n." American Mathematical Monthly 105, no. 8 (1998): 766. http://dx.doi.org/10.2307/2588996.

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2

Guy, Richard K., and John L. Selfridge. "Factoring Factorial n." American Mathematical Monthly 105, no. 8 (1998): 766–67. http://dx.doi.org/10.1080/00029890.1998.12004961.

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3

Aminudin, Aminudin, and Eko Budi Cahyono. "A Practical Analysis of the Fermat Factorization and Pollard Rho Method for Factoring Integers." Lontar Komputer : Jurnal Ilmiah Teknologi Informasi 12, no. 1 (2021): 33. http://dx.doi.org/10.24843/lkjiti.2021.v12.i01.p04.

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The development of public-key cryptography generation using the factoring method is very important in practical cryptography applications. In cryptographic applications, the urgency of factoring is very risky because factoring can crack public and private keys, even though the strength in cryptographic algorithms is determined mainly by the key strength generated by the algorithm. However, solving the composite number to find the prime factors is still very rarely done. Therefore, this study will compare the Fermat factorization algorithm and Pollard rho by finding the key generator public key

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4

Sommer, Heinrich Johannes. "Factoring, International Factoring Networks and the FCI Code of International Factoring Customs." Uniform Law Review 3, no. 2-3 (1998): 685–91. http://dx.doi.org/10.1093/ulr/3.2-3.685.

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5

Viktoriia, V. Lakiza, and V. Zynych Lesya. "Specifity of performance of international factoring in the terittory of Ukraine." Economics: time realities. Scientific journal. 5, no. 45 (2019): 80–87. https://doi.org/10.5281/zenodo.3766845.

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The specifics of international factoring have been investigated of international factoring as a special form of enterprise financing, approaches to determining the category of "international factoring", their essence and value, criteria for attributing transactions to factoring are investigated. In order to determine the effectiveness of factoring operations, the stages of realization of international factoring are separated. For each international factoring entity, the advantages and disadvantages of its use are determined, taking into account the specificity of the involvement of t

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6

Sullivan, Michael C. "Knot Factoring." American Mathematical Monthly 107, no. 4 (2000): 297. http://dx.doi.org/10.2307/2589175.

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7

Kaczkowski, Stephen. "Factoring Quadratics." College Mathematics Journal 32, no. 3 (2001): 203. http://dx.doi.org/10.2307/2687472.

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8

Peterson, Ivars. "Uncommon Factoring." Science News 127, no. 13 (1985): 202. http://dx.doi.org/10.2307/3969664.

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9

Ruthen, Russell. "Factoring Googols." Scientific American 259, no. 6 (1988): 22. http://dx.doi.org/10.1038/scientificamerican1288-22a.

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10

Pratt, Vaughan. "Factoring Heron." College Mathematics Journal 40, no. 1 (2009): 15–16. http://dx.doi.org/10.1080/07468342.2009.11922330.

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11

Sullivan, Michael C. "Knot Factoring." American Mathematical Monthly 107, no. 4 (2000): 297–315. http://dx.doi.org/10.1080/00029890.2000.12005198.

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12

Pratt, Vaughan. "Factoring Heron." College Mathematics Journal 40, no. 1 (2009): 15–16. http://dx.doi.org/10.4169/193113409x469659.

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13

Gary Brookfield. "Factoring Forms." American Mathematical Monthly 123, no. 4 (2016): 347. http://dx.doi.org/10.4169/amer.math.monthly.123.4.347.

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14

Redenius-Hövermann, Julia. "Reverse Factoring." JURA - Juristische Ausbildung 41, no. 8 (2019): 803–11. http://dx.doi.org/10.1515/jura-2019-2098.

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15

CERBAF. "International factoring." Journal of Banking & Finance 11, no. 4 (1987): 605–6. http://dx.doi.org/10.1016/0378-4266(87)90007-0.

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16

Siems, Silke. "Spezialität: Factoring." Bankmagazin 51, no. 11 (2002): 62–63. http://dx.doi.org/10.1007/bf03230095.

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17

Mckee, James. "Turning Euler's Factoring Method into a Factoring Algorithm." Bulletin of the London Mathematical Society 28, no. 4 (1996): 351–55. http://dx.doi.org/10.1112/blms/28.4.351.

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18

Nataliya, A. Mamontova, and O. Tataryn Maria. "Accounting and Analytical Aspect of Performing Factoring Operations." Economic journal Odessa polytechnic university 1, no. 23 (2023): 36–42. https://doi.org/10.5281/zenodo.8063587.

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Every year, factoring operations gain popularity not only abroad, but also in the domestic market of non-banking financial services. However, our enterprises do not use this service very often, due to mistrust, lack of distribution and ignorance. In addition, there is the issue of an imperfect explanation of the implementation of some aspects of factoring operations. That is why the article reveals the issue of factoring in Ukraine, its development and dynamics, reflected in the legislation. A study of some aspects of accounting was carried out and the recommendations of scientists regarding t

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19

Bahig, Hatem M. "Speeding Up Fermat’s Factoring Method using Precomputation." Annals of Emerging Technologies in Computing 6, no. 2 (2022): 50–60. http://dx.doi.org/10.33166/aetic.2022.02.004.

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The security of many public-key cryptosystems and protocols relies on the difficulty of factoring a large positive integer n into prime factors. The Fermat factoring method is a core of some modern and important factorization methods, such as the quadratic sieve and number field sieve methods. It factors a composite integer n=pq in polynomial time if the difference between the prime factors is equal to ∆=p-q≤n^(0.25) , where p>q. The execution time of the Fermat factoring method increases rapidly as ∆ increases. One of the improvements to the Fermat factoring method is based on studying the

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20

Fukuda, Chuya, and Koki Sugawara. "VISUAL PROOF OF FACTORIZATION FORMULA-PRACTICAL GUIDANCE FOR STUDENTS." Far East Journal of Mathematical Education 27, no. 1 (2025): 11–16. https://doi.org/10.17654/0973563125002.

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In this paper, we report practical guidance for students on visual proof of factorization formula. First, we use area to guide students on factorizing quadratic equations. Based on this, next we use volume to guide students on factoring cubic equations. Finally, students try a visual proof of factoring a cubic equation. The results of the challenge came positive.

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21

Iroda, Boykabilova, and Davronova Dilnoza. "Factoring Operations in Banks." Yashil iqtisodiyot va taraqqiyot 1, no. 5 (2024): 6–9. https://doi.org/10.5281/zenodo.12796297.

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In this article, we discuss factoring operations, their content and essence, information about factoring agreementsand their requirements, as well as the accounting of factoring operations in banks. It also presents brief informationon types of factoring.

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22

De Lucca, Newton, and Renata Mota Maciel Dezem. "FACTORING: PROBLEMAS ATUAIS." Prisma Juridico 15, no. 1 (2017): 153–80. http://dx.doi.org/10.5585/prismaj.v15n1.7009.

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Resumo: O tema factoring foi abordado pelo Prof. Newton De Lucca em obra publicada no ano de 1986. Na época, a grande discussão era saber se as empresas de factoring realizavam ou não atividade típica de instituição financeira. Com o passar do tempo e a edição de Circulares do BACEN, a questão tornou-se pacífica, enquanto outras discussões vieram à tona, no exercício da atividade de faturização, sobretudo diante da constatação de sua relevância para o financiamento de pequenas e microempresas.

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23

Honda, Ko. "Factoring nonrotativeT2×Ilayers." Geometry & Topology 5, no. 2 (2001): 925–38. http://dx.doi.org/10.2140/gt.2001.5.925.

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24

Foster, M. J., and A. R. Lock. "Factoring Effectiveness Factors!" Journal of the Operational Research Society 41, no. 2 (1990): 111. http://dx.doi.org/10.2307/2583729.

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25

Skoghøy, Jens Edvin A. "Factoring og factoringpant." Jussens Venner 31, no. 01 (1996): 1–43. http://dx.doi.org/10.18261/issn1504-3126-1996-01-01.

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26

Jaroma, John H. "Factoring Generalized Repunits." Irish Mathematical Society Bulletin 0059 (2007): 29–35. http://dx.doi.org/10.33232/bims.0059.29.35.

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27

Rivest, Ronald L. "Factoring and Cryptography." Science 242, no. 4885 (1988): 1493. http://dx.doi.org/10.1126/science.242.4885.1493.a.

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28

Clinch, Adam. "Factoring for Roots." Mathematics Teacher 111, no. 7 (2018): 528–34. http://dx.doi.org/10.5951/mathteacher.111.7.0528.

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Justifications, methods, and results compare two classes of students who used a new technique that ties together procedural fluency and conceptual understanding in a manner unlike other current strategies.

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29

Rivest, R. L. "Factoring and Cryptography." Science 242, no. 4885 (1988): 1493. http://dx.doi.org/10.1126/science.242.4885.1493.

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30

Álvarez, T. "Factoring Rosenthal operators." Publicacions Matemàtiques 32 (January 1, 1988): 87–89. http://dx.doi.org/10.5565/publmat_32188_07.

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31

Jiao, Allan Y. "Factoring policing models." Policing: An International Journal of Police Strategies & Management 20, no. 3 (1997): 454–72. http://dx.doi.org/10.1108/13639519710180015.

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32

Foster, M. J., and A. R. Lock. "Factoring Effectivess Factors!" Journal of the Operational Research Society 41, no. 2 (1990): 111–17. http://dx.doi.org/10.1038/sj/jors/0410203.

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33

Heffernan, Olive. "Factoring in fish." Nature Climate Change 1, no. 902 (2009): 14–15. http://dx.doi.org/10.1038/climate.2009.6.

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34

Boyle, Mike. "Factoring Factor Maps." Journal of the London Mathematical Society 57, no. 2 (1998): 491–502. http://dx.doi.org/10.1112/s0024610798005833.

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35

Starr, A. "Factoring in humans." IEE Review 49, no. 10 (2003): 58. http://dx.doi.org/10.1049/ir:20031018.

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36

Yates, Darran. "Factoring in astrocytes." Nature Reviews Neuroscience 16, no. 2 (2015): 67. http://dx.doi.org/10.1038/nrn3908.

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37

Miller, Kristen, Tandi Bagian, and Linda Williams. "Human Factoring Healthcare." Proceedings of the International Symposium on Human Factors and Ergonomics in Health Care 3, no. 1 (2014): 191–95. http://dx.doi.org/10.1177/2327857914031031.

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Even in a just culture, preventable or avoidable adverse events can often be attributed to a failure to follow recognized, evidence-based best practices or guidelines at the individual and/or system level. Investigations of adverse events have heightened the awareness of the need to redesign systems and processes to prevent human error. Despite the existence of considerable information about how to improve care through the application of human factors, healthcare professionals are not provided a means to ensure sufficient education in healthcare human factors and the impact on patient safety.

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38

Brayton, R. K. "Factoring logic functions." IBM Journal of Research and Development 31, no. 2 (1987): 187–98. http://dx.doi.org/10.1147/rd.312.0187.

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39

Grubb, D. J. "Factoring Chebyshev Polynomials." Fibonacci Quarterly 52, no. 4 (2014): 360–66. http://dx.doi.org/10.1080/00150517.2014.12427886.

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40

Smolin, John A., Graeme Smith, and Alexander Vargo. "Oversimplifying quantum factoring." Nature 499, no. 7457 (2013): 163–65. http://dx.doi.org/10.1038/nature12290.

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41

Foster, M. J., and A. R. Lock. "Factoring Effectiveness Factors!" Journal of the Operational Research Society 41, no. 2 (1990): 111–17. http://dx.doi.org/10.1057/jors.1990.18.

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42

Stajic, J. "Factoring in Noise." Science 327, no. 5967 (2010): 762. http://dx.doi.org/10.1126/science.327.5967.762-b.

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43

Ebanks, Bruce R. "Factoring multiadditive mappings." Linear and Multilinear Algebra 33, no. 3-4 (1992): 175–84. http://dx.doi.org/10.1080/03081089308818192.

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44

Brady, Noel, and Jon McCammond. "Factoring Euclidean isometries." International Journal of Algebra and Computation 25, no. 01n02 (2015): 325–47. http://dx.doi.org/10.1142/s0218196715400135.

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Every isometry of a finite-dimensional Euclidean space is a product of reflections and the minimum length of a reflection factorization defines a metric on its full isometry group. In this paper we identify the structure of intervals in this metric space by constructing, for each isometry, an explicit combinatorial model encoding all of its minimum length reflection factorizations. The model is largely independent of the isometry chosen in that it only depends on whether or not some point is fixed and the dimension of the space of directions that points are moved.

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45

Chapman, Adam. "Factoring octonion polynomials." International Journal of Algebra and Computation 30, no. 07 (2020): 1457–63. http://dx.doi.org/10.1142/s0218196720500484.

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We provide an analogue of Wedderburn’s factorization method for central polynomials with coefficients in an octonion division algebra, and present an algorithm for fully factoring polynomials of degree [Formula: see text] with [Formula: see text] conjugacy classes of roots, counting multiplicities.

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46

Dasgupta, M., and R. Deb. "Factoring fuzzy transitivity." Fuzzy Sets and Systems 118, no. 3 (2001): 489–502. http://dx.doi.org/10.1016/s0165-0114(98)00398-4.

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47

Dowling, Bob. "RSA factoring challenge." Computer Fraud & Security Bulletin 1991, no. 8 (1991): 5. http://dx.doi.org/10.1016/0142-0496(91)90271-6.

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48

Sica, Francesco. "Factoring with Hints." Journal of Mathematical Cryptology 15, no. 1 (2020): 123–30. http://dx.doi.org/10.1515/jmc-2020-0078.

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AbstractWe introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the factorisations of O(N1/3+ϵ) terms surrounding N = pq product of two large primes, we can recover deterministically p and q in O(N1/3+ϵ) bit operations. This shows that the factorisations of close integers are non trivially related and that consequently one can expect more results along this line of thought.

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49

Lavine, M. S. "Factoring the Growth." Science 338, no. 6108 (2012): 723. http://dx.doi.org/10.1126/science.338.6108.723-a.

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50

Madhavan, C. E. Veni. "Factoring fermat numbers." Resonance 1, no. 1 (1996): 108. http://dx.doi.org/10.1007/bf02838870.

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