Prime Factorization of 6,174
Answer
6,174 = 2 × 32 × 73
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,174 | 2 | 3,087 |
| 2 | 3,087 | 3 | 1,029 |
| 3 | 1,029 | 3 | 343 |
| 4 | 343 | 7 | 49 |
| 5 | 49 | 7 | 7 |
| 6 | 7 | 7 | 1 |
Prime Factors
The prime factors of 6,174 are: 2, 3, 7
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Understanding Prime Factorization
The prime factorization of 6,174 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,174
- Break it down into its prime factors: 2, 3, 7
- Final expression: 2 × 32 × 73