Prime Factorization of 9,856
Answer
9,856 = 27 × 7 × 11
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,856 | 2 | 4,928 |
| 2 | 4,928 | 2 | 2,464 |
| 3 | 2,464 | 2 | 1,232 |
| 4 | 1,232 | 2 | 616 |
| 5 | 616 | 2 | 308 |
| 6 | 308 | 2 | 154 |
| 7 | 154 | 2 | 77 |
| 8 | 77 | 7 | 11 |
| 9 | 11 | 11 | 1 |
Prime Factors
The prime factors of 9,856 are: 2, 7, 11
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Understanding Prime Factorization
The prime factorization of 9,856 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,856
- Break it down into its prime factors: 2, 7, 11
- Final expression: 27 × 7 × 11