prime factorization


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 = 24 × 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 × 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.

Related Terms for Prime Factorization

  • Composite Number
  • Product
  • Factor