Prime Factorization of 3,800
Answer
3,800 = 23 × 52 × 19
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,800 | 2 | 1,900 |
| 2 | 1,900 | 2 | 950 |
| 3 | 950 | 2 | 475 |
| 4 | 475 | 5 | 95 |
| 5 | 95 | 5 | 19 |
| 6 | 19 | 19 | 1 |
Prime Factors
The prime factors of 3,800 are: 2, 5, 19
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Understanding Prime Factorization
The prime factorization of 3,800 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,800
- Break it down into its prime factors: 2, 5, 19
- Final expression: 23 × 52 × 19