Prime Factorization of 5,640
Answer
5,640 = 23 × 3 × 5 × 47
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 5,640 | 2 | 2,820 |
| 2 | 2,820 | 2 | 1,410 |
| 3 | 1,410 | 2 | 705 |
| 4 | 705 | 3 | 235 |
| 5 | 235 | 5 | 47 |
| 6 | 47 | 47 | 1 |
Prime Factors
The prime factors of 5,640 are: 2, 3, 5, 47
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Understanding Prime Factorization
The prime factorization of 5,640 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,640
- Break it down into its prime factors: 2, 3, 5, 47
- Final expression: 23 × 3 × 5 × 47