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factorization

Upper-Intermediate (B2)

IPA: /ˌfæktəraɪˈzeɪʃən/

KK: /fæktəraɪˈzeɪʃən/

noun
Definition

The process of breaking down a number or expression into its factors, which are numbers or expressions that can be multiplied together to get the original number or expression.


Example

The factorization of 12 is 3 times 4, or 2 times 6.


Conversation
Sloth A
Have you heard about factorization in math class lately?
Sloth B
Yeah, we just started learning about it!
Sloth A
I find factorization really interesting, especially with larger numbers.
Sloth B
Same here! It’s cool how it helps simplify equations.

Synonyms & Antonyms
Synonyms
decomposition
breakdown
resolution
Antonyms
combination
aggregation
fusion
Root Explanation

Factorization → It is formed from "factor" (from Latin "facere", meaning to make or do) and the suffix "-ization" (meaning the process of making or becoming). The word "factorization" refers to the process of making or breaking down a number into its factors.

Memory Tip

Think of 'making' ('facere') parts of a number — that's what factorization means, the process of breaking a number into its factors.

Visually Confused Words
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fractionization
lactonization
doctorization
bacterization
authorization
acetonization
patrization
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