Prime Factorization of 9,585
Answer
9,585 = 33 × 5 × 71
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,585 | 3 | 3,195 |
| 2 | 3,195 | 3 | 1,065 |
| 3 | 1,065 | 3 | 355 |
| 4 | 355 | 5 | 71 |
| 5 | 71 | 71 | 1 |
Prime Factors
The prime factors of 9,585 are: 3, 5, 71
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Understanding Prime Factorization
The prime factorization of 9,585 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,585
- Break it down into its prime factors: 3, 5, 71
- Final expression: 33 × 5 × 71