Definitions
from The American Heritage® Dictionary of the English Language, 4th Edition
 transitive v. Mathematics To factor.
from Wiktionary, Creative Commons Attribution/ShareAlike License
 v. To create a list of factors.
 v. To divide an expression into a listing items that, when multiplied together, will produce the original quantity.
from the GNU version of the Collaborative International Dictionary of English
 transitive v.
 transitive v. To give warning to;  said of a person in whose hands the effects of another are attached, the warning being to the effect that he shall not pay the money or deliver the property of the defendant in his hands to him, but appear and answer the suit of the plaintiff.
 transitive v. To attach (the effects of a debtor) in the hands of a third person; to garnish. See garnish.
 transitive v. to resolve (a complex expression, such as a polynomial) into factors.
from The Century Dictionary and Cyclopedia
 In law, in some of the United States, to warn not to pay or give up goods; attach the effects of a debtor in the hands of a third person.
 To resolve into factors.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 v. resolve (a polynomial) into factors
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

So if the visible universe were the extent of physical reality, physical reality would not even remotely contain the resources required to factorize such a large number.
The Simulation Argument and Christianity « Anglican Samizdat

The joint probability distributions do not factorize into the product of two independent single distributions.

If a set of quantum systems compose a system whose quantum state is represented quantum mechanically by a tensorproduct statevector which does not factorize into a vector in the Hilbert space of each individual system, those systems are said to be entangled.

In all the above interpretations of quantum mechanics, the failure of factorizability (i.e., the failure of the joint probability of the measurement outcomes in the EPR/B experiment to factorize into their single probabilities) involves nonseparability, holism and/or some type of action at a distance.

The focus of this entry has been on exploring the nature of the nonlocal influences in the quantum realm as depicted by quantum theories that violate factorizability, i.e., theories in which the joint probability of the distant outcomes in the EPR/B experiment do not factorize into the product of the single probabilities of these outcomes.

A local Bell model of this experiment also postulates that probabilities of joint outcomes factorize into the single probabilities of the L  and the R  outcomes: The probability of joint outcomes is equal to the product of the probabilities of the single outcomes.

We want to factorize the overlaps and separate the concerns of change tracking, identitymapping, transactions and data access.

One big problem with RSA (and pretty much all other cryptographic methods) is that it's possible that a trick exists that nobody has found yet which makes it easy to factorize a large number.

"Right now for example we are building one that will factorize 15  3 times 5," he said.

Making UI's was a blast with it, I could factorize anything and really loved making as generic code as possible with it, even for small projects.
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