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Factorization

Definition Of Factorization

Factorization is a method of writing numbers as the product of their factors or divisors.

More About Factorization

When the factors of a number are multiplied together, they give the original number.
Normally factorization is done by using prime factorization method.

Video Examples:How to Factor any Quadratic Equation
 

Example of Factorization

By using the method of factorization(prime factorization), 21 can be written as 21 = 3 × 7.
25p3 + 10p2 can be factorized as 5p2(p + 2).

Solved Example on Factorization

Ques: Factor:
24x2 - 144x + 216

Choices:

A. 24(x - 3) (x + 3)
B. 24(x + 3)
C. 25(x - 3)2
D. 24(x - 3)2
Correct Answer: D

Solution:

Step 1: 24x2 - 144x + 216 [Original expression.]
Step 2: = 24[x2 - 6x + 9] [Take out common factor.] 
Step 3: = 24[(x)2 - 2(x)(3) + (3)2] [Write as (a2 - 2ab + b2).]
Step 4: = 24[(x - 3)2] [Write as (a - b)2.]