Prime Factorization of 9,144
Answer
9,144 = 23 × 32 × 127
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,144 | 2 | 4,572 |
| 2 | 4,572 | 2 | 2,286 |
| 3 | 2,286 | 2 | 1,143 |
| 4 | 1,143 | 3 | 381 |
| 5 | 381 | 3 | 127 |
| 6 | 127 | 127 | 1 |
Prime Factors
The prime factors of 9,144 are: 2, 3, 127
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Understanding Prime Factorization
The prime factorization of 9,144 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,144
- Break it down into its prime factors: 2, 3, 127
- Final expression: 23 × 32 × 127