Can someone explain to me factorizations of nouns
I have never heard that terminology before, and googling it came up with zilch!
Factoring is a math feature, not grammar and usage. We can conjugate verbs and decline nouns, but factorization = ???
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http://www.answers.com/factorization
It seems that you may have come across a term that may not apply to nouns specifically. "Factorization" is indeed a mathematical term that refers to breaking down a number or an expression into its factors. However, when it comes to nouns, factorization is not a common term or concept in grammar or language studies.
In grammar, we typically discuss the properties, functions, and forms of nouns, but not factorization. The study of nouns often involves different aspects such as gender, number, case, and syntactic roles. If you encountered the term "factorization of nouns" in a specific context or source, it might be helpful to provide more information to better understand the intended meaning.
In general, if you are looking for information about nouns and their properties, it is more appropriate to inquire about concepts such as gender, number (singular or plural), case (nominative, genitive, dative, accusative, etc.), or any other relevant aspects of nouns.