Prime Factorization

Definition of Prime Factorization

Prime factorization is to write a composite number as a product of its prime factors.

Example of Prime Factorization

    In the above figure, the letter R is on the top.
    The prime factorization of 48 is 2 2 2 2 3 = 24 3.

Video Examples: Prime Factorization


Solved Example on Prime Factorization

Ques: Choose the product that represents the prime factorization of 108.

    Choices:
    A. 3 3 3 2 2 2
    B. 9 23
    C. 3 3 3 2 2
    D. 3 3 12
    Correct Answer: C

Solution:

    Step 1: 108 can be expressed as prime factors as follows.
    Step 2: 108 = 3 3 3 2 2.