Prime Factorization of 9,728
Answer
9,728 = 29 × 19
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,728 | 2 | 4,864 |
| 2 | 4,864 | 2 | 2,432 |
| 3 | 2,432 | 2 | 1,216 |
| 4 | 1,216 | 2 | 608 |
| 5 | 608 | 2 | 304 |
| 6 | 304 | 2 | 152 |
| 7 | 152 | 2 | 76 |
| 8 | 76 | 2 | 38 |
| 9 | 38 | 2 | 19 |
| 10 | 19 | 19 | 1 |
Prime Factors
The prime factors of 9,728 are: 2, 19
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Understanding Prime Factorization
The prime factorization of 9,728 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,728
- Break it down into its prime factors: 2, 19
- Final expression: 29 × 19