Prime Factorization of 9,792
Answer
9,792 = 26 × 32 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,792 | 2 | 4,896 |
| 2 | 4,896 | 2 | 2,448 |
| 3 | 2,448 | 2 | 1,224 |
| 4 | 1,224 | 2 | 612 |
| 5 | 612 | 2 | 306 |
| 6 | 306 | 2 | 153 |
| 7 | 153 | 3 | 51 |
| 8 | 51 | 3 | 17 |
| 9 | 17 | 17 | 1 |
Prime Factors
The prime factors of 9,792 are: 2, 3, 17
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Understanding Prime Factorization
The prime factorization of 9,792 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,792
- Break it down into its prime factors: 2, 3, 17
- Final expression: 26 × 32 × 17