How Do You Spell FACTORIZE?

Pronunciation: [fˈaktəɹˌa͡ɪz] (IPA)

Factorize is a word that refers to the process of breaking down a mathematical expression into its individual factors. It is pronounced /ˈfæktəraɪz/, with the stressed syllable being the second one, "tər". The "f" is pronounced as "f" in "fine", the "a" as "a" in "cat", the "c" as "k" in "kite", the "t" as "t" in "time", the "ə" as the "a" in "sofa", the "r" as the "r" in "red", the "aɪ" as the "ai" in "hair", and the "z" as "z" in "zip".

FACTORIZE Meaning and Definition

  1. Factorize is a verb that refers to the process of finding the factors of a given mathematical expression or number. When we factorize a polynomial or an algebraic expression, we break it down into its constituent factors. Factors are numbers or expressions that, when multiplied together, result in the original expression.

    In the context of numbers, factorizing involves decomposing a number into a product of its prime factors. Prime factors are prime numbers that are multiplied together to obtain the given number. For instance, the factorization of the number 12 is expressed as 2 × 2 × 3, where 2 and 3 are its prime factors.

    Factorization is an essential mathematical tool used in various applications such as simplifying algebraic expressions, solving equations, determining the divisors of numbers, and analyzing the properties of numbers and polynomials. By factorizing, we can gain insights into the structure and properties of the given mathematical entity. Moreover, factorization is particularly relevant in cryptography, where the security of encryption algorithms relies on the difficulty of factorizing large numbers.

    In summary, factorizing is the methodical process of finding the prime factors or constituent parts of a mathematical expression or number, often used for simplification, solution finding, or analysis purposes.

Common Misspellings for FACTORIZE

Etymology of FACTORIZE

The word "factorize" originated in mathematics. It is derived from the Latin word "factor", which means "one who does something" or "one who produces an effect". The suffix "-ize" is added to create a verb form, meaning "to cause to be or become". Thus, "factorize" is a combination of "factor" and "-ize", and it refers to the process of decomposing a mathematical expression or number into its constituent factors.

Similar spelling words for FACTORIZE

Conjugate verb Factorize

CONDITIONAL PERFECT

I would have factorized
you would have factorized
he/she/it would have factorized
we would have factorized
they would have factorized
I would have factorize
you would have factorize
he/she/it would have factorize
we would have factorize
they would have factorize

CONDITIONAL PERFECT PROGRESSIVE

I would have been factorizing
you would have been factorizing
he/she/it would have been factorizing
we would have been factorizing
they would have been factorizing

CONDITIONAL PRESENT

I would factorize
you would factorize
he/she/it would factorize
we would factorize
they would factorize

CONDITIONAL PRESENT PROGRESSIVE

I would be factorizing
you would be factorizing
he/she/it would be factorizing
we would be factorizing
they would be factorizing

FUTURE

I will factorize
you will factorize
he/she/it will factorize
we will factorize
they will factorize

FUTURE CONTINUOUS

I will be factorizing
you will be factorizing
he/she/it will be factorizing
we will be factorizing
they will be factorizing

FUTURE PERFECT

I will have factorized
you will have factorized
he/she/it will have factorized
we will have factorized
they will have factorized

FUTURE PERFECT CONTINUOUS

I will have been factorizing
you will have been factorizing
he/she/it will have been factorizing
we will have been factorizing
they will have been factorizing

IMPERATIVE

you factorize
we let´s factorize

NONFINITE VERB FORMS

to factorize

PAST CONTINUOUS

I was factorizing
you were factorizing
he/she/it was factorizing
we were factorizing
they were factorizing

PAST PARTICIPLE

factorized

PAST PERFECT

I had factorized
you had factorized
he/she/it had factorized
we had factorized
they had factorized

PAST PERFECT CONTINUOUS

I had been factorizing
you had been factorizing
he/she/it had been factorizing
we had been factorizing
they had been factorizing

PRESENT

I factorize
you factorize
he/she/it factorizes
we factorize
they factorize

PRESENT CONTINUOUS

I am factorizing
you are factorizing
he/she/it is factorizing
we are factorizing
they are factorizing

PRESENT PARTICIPLE

factorizing

PRESENT PERFECT

I have factorized
you have factorized
he/she/it has factorized
we have factorized
they have factorized

PRESENT PERFECT CONTINUOUS

I have been factorizing
you have been factorizing
he/she/it has been factorizing
we have been factorizing
they have been factorizing

PRESENT SUBJUNCTIVE

he/she/it factorize

SIMPLE PAST

I factorized
you factorized
he/she/it factorized
we factorized
they factorized

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