**Definition of Prime Factorization**

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

**Examples of Prime Factorization**

- The prime factorization of 48 is 2 × 2 × 2 × 2 × 3 = 2
^{4}× 3.

**Solved Example on Prime Factorization**

Choose the product that represents the prime factorization of 108.

Choices:

A. 3 × 3 × 3 × 2 × 2 × 2

B. 9 × 2^{3}

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.

**Related Terms for Prime Factorization**

- Composite Number
- Product
- Factor