Prime Factorization of 8,192
Answer
8,192 = 213
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,192 | 2 | 4,096 |
| 2 | 4,096 | 2 | 2,048 |
| 3 | 2,048 | 2 | 1,024 |
| 4 | 1,024 | 2 | 512 |
| 5 | 512 | 2 | 256 |
| 6 | 256 | 2 | 128 |
| 7 | 128 | 2 | 64 |
| 8 | 64 | 2 | 32 |
| 9 | 32 | 2 | 16 |
| 10 | 16 | 2 | 8 |
| 11 | 8 | 2 | 4 |
| 12 | 4 | 2 | 2 |
| 13 | 2 | 2 | 1 |
Prime Factors
The prime factors of 8,192 are: 2
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Understanding Prime Factorization
The prime factorization of 8,192 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,192
- Break it down into its prime factors: 2
- Final expression: 213