Prime Factorization of 3,808
Answer
3,808 = 25 × 7 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,808 | 2 | 1,904 |
| 2 | 1,904 | 2 | 952 |
| 3 | 952 | 2 | 476 |
| 4 | 476 | 2 | 238 |
| 5 | 238 | 2 | 119 |
| 6 | 119 | 7 | 17 |
| 7 | 17 | 17 | 1 |
Prime Factors
The prime factors of 3,808 are: 2, 7, 17
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Understanding Prime Factorization
The prime factorization of 3,808 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,808
- Break it down into its prime factors: 2, 7, 17
- Final expression: 25 × 7 × 17