Prime Factorization of 9,000
Answer
9,000 = 23 × 32 × 53
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,000 | 2 | 4,500 |
| 2 | 4,500 | 2 | 2,250 |
| 3 | 2,250 | 2 | 1,125 |
| 4 | 1,125 | 3 | 375 |
| 5 | 375 | 3 | 125 |
| 6 | 125 | 5 | 25 |
| 7 | 25 | 5 | 5 |
| 8 | 5 | 5 | 1 |
Prime Factors
The prime factors of 9,000 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 9,000 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,000
- Break it down into its prime factors: 2, 3, 5
- Final expression: 23 × 32 × 53