Prime Factorization of 9,152
Answer
9,152 = 26 × 11 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,152 | 2 | 4,576 |
| 2 | 4,576 | 2 | 2,288 |
| 3 | 2,288 | 2 | 1,144 |
| 4 | 1,144 | 2 | 572 |
| 5 | 572 | 2 | 286 |
| 6 | 286 | 2 | 143 |
| 7 | 143 | 11 | 13 |
| 8 | 13 | 13 | 1 |
Prime Factors
The prime factors of 9,152 are: 2, 11, 13
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Understanding Prime Factorization
The prime factorization of 9,152 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,152
- Break it down into its prime factors: 2, 11, 13
- Final expression: 26 × 11 × 13