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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.
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.
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
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
