Prime Factorization of 5,700
Answer
5,700 = 22 × 3 × 52 × 19
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 5,700 | 2 | 2,850 |
| 2 | 2,850 | 2 | 1,425 |
| 3 | 1,425 | 3 | 475 |
| 4 | 475 | 5 | 95 |
| 5 | 95 | 5 | 19 |
| 6 | 19 | 19 | 1 |
Prime Factors
The prime factors of 5,700 are: 2, 3, 5, 19
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Understanding Prime Factorization
The prime factorization of 5,700 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,700
- Break it down into its prime factors: 2, 3, 5, 19
- Final expression: 22 × 3 × 52 × 19