## Related Words

# 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 = 2^{4} � 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 � 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.

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