Prime Factorization of 9,504
Answer
9,504 = 25 × 33 × 11
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,504 | 2 | 4,752 |
| 2 | 4,752 | 2 | 2,376 |
| 3 | 2,376 | 2 | 1,188 |
| 4 | 1,188 | 2 | 594 |
| 5 | 594 | 2 | 297 |
| 6 | 297 | 3 | 99 |
| 7 | 99 | 3 | 33 |
| 8 | 33 | 3 | 11 |
| 9 | 11 | 11 | 1 |
Prime Factors
The prime factors of 9,504 are: 2, 3, 11
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Understanding Prime Factorization
The prime factorization of 9,504 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,504
- Break it down into its prime factors: 2, 3, 11
- Final expression: 25 × 33 × 11