Prime Factorization of 8,625
Answer
8,625 = 3 × 53 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,625 | 3 | 2,875 |
| 2 | 2,875 | 5 | 575 |
| 3 | 575 | 5 | 115 |
| 4 | 115 | 5 | 23 |
| 5 | 23 | 23 | 1 |
Prime Factors
The prime factors of 8,625 are: 3, 5, 23
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Understanding Prime Factorization
The prime factorization of 8,625 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,625
- Break it down into its prime factors: 3, 5, 23
- Final expression: 3 × 53 × 23