Prime Factorization of 3,584
Answer
3,584 = 29 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,584 | 2 | 1,792 |
| 2 | 1,792 | 2 | 896 |
| 3 | 896 | 2 | 448 |
| 4 | 448 | 2 | 224 |
| 5 | 224 | 2 | 112 |
| 6 | 112 | 2 | 56 |
| 7 | 56 | 2 | 28 |
| 8 | 28 | 2 | 14 |
| 9 | 14 | 2 | 7 |
| 10 | 7 | 7 | 1 |
Prime Factors
The prime factors of 3,584 are: 2, 7
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Understanding Prime Factorization
The prime factorization of 3,584 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,584
- Break it down into its prime factors: 2, 7
- Final expression: 29 × 7