Prime Factorization of 9,384
Answer
9,384 = 23 × 3 × 17 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,384 | 2 | 4,692 |
| 2 | 4,692 | 2 | 2,346 |
| 3 | 2,346 | 2 | 1,173 |
| 4 | 1,173 | 3 | 391 |
| 5 | 391 | 17 | 23 |
| 6 | 23 | 23 | 1 |
Prime Factors
The prime factors of 9,384 are: 2, 3, 17, 23
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Understanding Prime Factorization
The prime factorization of 9,384 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,384
- Break it down into its prime factors: 2, 3, 17, 23
- Final expression: 23 × 3 × 17 × 23