Prime Factorization of 7,164
Answer
7,164 = 22 × 32 × 199
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,164 | 2 | 3,582 |
| 2 | 3,582 | 2 | 1,791 |
| 3 | 1,791 | 3 | 597 |
| 4 | 597 | 3 | 199 |
| 5 | 199 | 199 | 1 |
Prime Factors
The prime factors of 7,164 are: 2, 3, 199
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Understanding Prime Factorization
The prime factorization of 7,164 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,164
- Break it down into its prime factors: 2, 3, 199
- Final expression: 22 × 32 × 199