Prime Factorization of 9,536
Answer
9,536 = 26 × 149
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,536 | 2 | 4,768 |
| 2 | 4,768 | 2 | 2,384 |
| 3 | 2,384 | 2 | 1,192 |
| 4 | 1,192 | 2 | 596 |
| 5 | 596 | 2 | 298 |
| 6 | 298 | 2 | 149 |
| 7 | 149 | 149 | 1 |
Prime Factors
The prime factors of 9,536 are: 2, 149
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Understanding Prime Factorization
The prime factorization of 9,536 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,536
- Break it down into its prime factors: 2, 149
- Final expression: 26 × 149