FACTORIZING Meaning and
Definition
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Factorizing is a mathematical process that involves breaking down a number or an expression into its constituent factors. It is the act of finding the prime numbers or irreducible components that multiply together to give the original number or expression. This technique is an essential aspect of algebra and number theory, as it allows for a deeper understanding of mathematical relationships and the manipulation of equations.
When factorizing a number, the goal is to determine its prime factors, which are the prime numbers that multiply together to give the original number. For example, when factorizing the number 24, the prime factors would be 2, 2, 2, and 3, as these numbers multiply together to give 24 (2 x 2 x 2 x 3 = 24).
Factorizing expressions involves breaking down algebraic expressions into their simplest form. By identifying common factors and simplifying the expression, factorizing allows for easier manipulation and solving of equations.
The process of factorizing often involves techniques such as factoring out the greatest common factor (GCF), factoring quadratics by grouping or using algebraic formulas, and factoring using methods like difference of squares or perfect square trinomials.
In summary, factorizing is the process of breaking down numbers or expressions into their constituent factors or irreducible components. It is a fundamental mathematical technique that aids in solving equations, simplifying expressions, and understanding mathematical relationships.
Common Misspellings for FACTORIZING
Etymology of FACTORIZING
The word "factorizing" is derived from the term "factorize", which is formed by adding the suffix "-ize" to the noun "factor". The noun "factor" comes from the Latin word "factor" meaning "doer" or "maker". In mathematics, "factor" refers to a number or expression that can be multiplied to obtain a given product. Therefore, "factorize" means to express a number or expression as a product of its factors. The suffix "-ize" is commonly added to nouns to form a verb, indicating the action or process of the noun.
Conjugate verb Factorizing
CONDITIONAL
I
would factorize
we
would factorize
you
would factorize
he/she/it
would factorize
they
would factorize
FUTURE
I
will factorize
we
will factorize
you
will factorize
he/she/it
will factorize
they
will factorize
FUTURE PERFECT
I
will have factorized
we
will have factorized
you
will have factorized
he/she/it
will have factorized
they
will have factorized
PAST
I
factorized
we
factorized
you
factorized
he/she/it
factorized
they
factorized
PAST PERFECT
I
had factorized
we
had factorized
you
had factorized
he/she/it
had factorized
they
had factorized
PRESENT
I
factorize
we
factorize
you
factorize
he/she/it
factorizes
they
factorize
PRESENT PERFECT
I
have factorized
we
have factorized
you
have factorized
he/she/it
has factorized
they
have factorized
I
am factorizing
we
are factorizing
you
are factorizing
he/she/it
is factorizing
they
are factorizing
I
was factorizing
we
were factorizing
you
were factorizing
he/she/it
was factorizing
they
were factorizing
I
will be factorizing
we
will be factorizing
you
will be factorizing
he/she/it
will be factorizing
they
will be factorizing
I
have been factorizing
we
have been factorizing
you
have been factorizing
he/she/it
has been factorizing
they
have been factorizing
I
had been factorizing
we
had been factorizing
you
had been factorizing
he/she/it
had been factorizing
they
had been factorizing
I
will have been factorizing
we
will have been factorizing
you
will have been factorizing
he/she/it
will have been factorizing
they
will have been factorizing
I
would have factorized
we
would have factorized
you
would have factorized
he/she/it
would have factorized
they
would have factorized
I
would be factorizing
we
would be factorizing
you
would be factorizing
he/she/it
would be factorizing
they
would be factorizing
I
would have been factorizing
we
would have been factorizing
you
would have been factorizing
he/she/it
would have been factorizing
they
would have been factorizing
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