Prime Factorization of 8,096
Answer
8,096 = 25 × 11 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,096 | 2 | 4,048 |
| 2 | 4,048 | 2 | 2,024 |
| 3 | 2,024 | 2 | 1,012 |
| 4 | 1,012 | 2 | 506 |
| 5 | 506 | 2 | 253 |
| 6 | 253 | 11 | 23 |
| 7 | 23 | 23 | 1 |
Prime Factors
The prime factors of 8,096 are: 2, 11, 23
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Understanding Prime Factorization
The prime factorization of 8,096 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,096
- Break it down into its prime factors: 2, 11, 23
- Final expression: 25 × 11 × 23