Pronunciation: [fˈaktəɹˌa͡ɪzd] (IPA) 
Factorized is a verb that means to express a number or expression as a product of its factors. It is spelled with three syllables, with the primary stress on the second syllable. The IPA phonetic transcription of factorized is /ˈfæktəraɪzd/. The "f" is pronounced as "f," the "a" as "æ," the "c" as "k," the "t" as "t," the "e" as "ə," the "r" as "r," the "i" as "aɪ," the "z" as "z," and the "d" as "d."
Factorized refers to the transformation of a mathematical expression, equation, or algorithm into a product of several factors, usually expressed in simpler or more analyzable terms. This process involves breaking down a given expression or equation into multiple parts that can be multiplied together to reconstruct the original expression or equation. By factorizing, one can identify and extract common factors, simplify the expression, solve equations, or analyze the properties and behavior of a given mathematical entity more effectively.
In mathematics, factorization plays a crucial role in many areas such as algebra, number theory, polynomial equations, and calculus. It serves as a fundamental tool for simplifying and manipulating complex expressions or equations into more manageable forms. By decomposing a mathematical entity into its factors, one can gain a deeper understanding of its underlying structure and properties.
Factorization often involves techniques such as distributing, factoring out a common term, or using specific factorization formulas. The resulting factorized form is generally expressed as a product, where each factor represents a distinct component of the original expression or equation. This representation enables further analysis, simplification, or solution of the mathematical problem at hand.
Overall, factorization is a vital mathematical technique used to break down and analyze complex expressions or equations, providing insight into their components and aiding in the exploration of mathematical concepts.
* The statistics data for these misspellings percentages are collected from over 15,411,110 spell check sessions on www.spellchecker.net from Jan 2010 - Jun 2012.
The word "factorized" is derived from the noun "factor", meaning a number or quantity that when multiplied with another number or quantity gives a product. The term "factorize" is a verb form created by adding the suffix "-ize", which is used to form verbs indicating the action of making, causing, or converting something into a particular state or condition. Thus, "factorize" means to break down a mathematical expression or number into its factors. The term "factorize" is commonly used in mathematics and algebra.
