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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.