How to Use factorization in a Sentence
factorization
noun-
The size of a p-adic number is determined by the prevalence of p in its prime factorization.
—Quanta Magazine, 19 Oct. 2020
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So far, Böck has identified only a handful of keys in the wild that are vulnerable to the factorization attack.
—Dan Goodin, Ars Technica, 14 Mar. 2022
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As a result, in this ring, unique prime factorization — a central tenet of arithmetic, one practically taken for granted in the normal integers — breaks down.
—Jordana Cepelewicz, Quanta Magazine, 10 Aug. 2022
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Quantum computers, though, may be able to solve integer factorization problems many millions of times faster.
—Sara Castellanos, WSJ, 9 Oct. 2020
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Gauss also conjectured that there are only nine negative square roots that preserve prime factorization.
—Kevin Hartnett, Quanta Magazine, 2 Mar. 2017
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Unique prime factorization is a way of constructing a number system from fundamental building blocks.
—Kevin Hartnett, Quanta Magazine, 2 Mar. 2017
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One recent query: how to link lessons on prime factorization with simplifying fractions so students can learn how different topics connect with each other.
—Sarah E. Needleman, WSJ, 9 Aug. 2020
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This can easily be broken with Fermat's factorization method.
—Dan Goodin, Ars Technica, 14 Mar. 2022
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To optimize speed, the library uses a structure of underlying prime numbers that makes the keys much more susceptible to a mathematical process known as factorization.
—Dan Goodin, Ars Technica, 23 Oct. 2017
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Light beams might be used to create optical computers powerful enough to solve difficult problems such as factorization.
—Quanta Magazine, 30 Sep. 2020
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To boost performance, the Infineon library constructs the keys' underlying prime numbers in a way that makes the keys prone to a process known as factorization, which exposes the secret numbers underpinning their security.
—Dan Goodin, Ars Technica, 16 Oct. 2017
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The authors note that a variety of other calculations, like factorization and matrix manipulations, can be performed using phase change memory arrays, meaning this isn't a one-trick pony.
—John Timmer, Ars Technica, 26 Oct. 2017
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Quantum computing speeds up prime number factorization, thus making attacks against cryptography much more efficient.
—Bernard Marr, Forbes, 10 Nov. 2022
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For this reason, the RSA cryptosystem, an encryption scheme that derives its security from the difficulty of integer factorization, remains a popular tool for secure communication.
—Quanta Magazine, 15 May 2017
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Everything from credit-card transactions to text messaging is encrypted using an algorithm that relies on factorization, or reverse multiplication.
—Jack Nicas, WSJ, 16 Oct. 2017
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The factorization can be dramatically accelerated by spreading the load onto multiple computers.
—Dan Goodin, Ars Technica, 16 Oct. 2017
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Even more importantly, mathematicians are constantly developing new algorithms that allow for easier factorization.
—Adam Mann, WIRED, 7 June 2013
Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'factorization.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.
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