Prime Factorization of 7,000
Answer
7,000 = 23 × 53 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,000 | 2 | 3,500 |
| 2 | 3,500 | 2 | 1,750 |
| 3 | 1,750 | 2 | 875 |
| 4 | 875 | 5 | 175 |
| 5 | 175 | 5 | 35 |
| 6 | 35 | 5 | 7 |
| 7 | 7 | 7 | 1 |
Prime Factors
The prime factors of 7,000 are: 2, 5, 7
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Understanding Prime Factorization
The prime factorization of 7,000 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,000
- Break it down into its prime factors: 2, 5, 7
- Final expression: 23 × 53 × 7