Prime Factorization of 9,576
Answer
9,576 = 23 × 32 × 7 × 19
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,576 | 2 | 4,788 |
| 2 | 4,788 | 2 | 2,394 |
| 3 | 2,394 | 2 | 1,197 |
| 4 | 1,197 | 3 | 399 |
| 5 | 399 | 3 | 133 |
| 6 | 133 | 7 | 19 |
| 7 | 19 | 19 | 1 |
Prime Factors
The prime factors of 9,576 are: 2, 3, 7, 19
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Understanding Prime Factorization
The prime factorization of 9,576 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,576
- Break it down into its prime factors: 2, 3, 7, 19
- Final expression: 23 × 32 × 7 × 19