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.

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