Prime Factorization of 6,000
Answer
6,000 = 24 × 3 × 53
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,000 | 2 | 3,000 |
| 2 | 3,000 | 2 | 1,500 |
| 3 | 1,500 | 2 | 750 |
| 4 | 750 | 2 | 375 |
| 5 | 375 | 3 | 125 |
| 6 | 125 | 5 | 25 |
| 7 | 25 | 5 | 5 |
| 8 | 5 | 5 | 1 |
Prime Factors
The prime factors of 6,000 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 6,000 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,000
- Break it down into its prime factors: 2, 3, 5
- Final expression: 24 × 3 × 53