Prime Factorization of 3,825
Answer
3,825 = 32 × 52 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,825 | 3 | 1,275 |
| 2 | 1,275 | 3 | 425 |
| 3 | 425 | 5 | 85 |
| 4 | 85 | 5 | 17 |
| 5 | 17 | 17 | 1 |
Prime Factors
The prime factors of 3,825 are: 3, 5, 17
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Understanding Prime Factorization
The prime factorization of 3,825 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,825
- Break it down into its prime factors: 3, 5, 17
- Final expression: 32 × 52 × 17