Prime Factorization of 6,825
Answer
6,825 = 3 × 52 × 7 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,825 | 3 | 2,275 |
| 2 | 2,275 | 5 | 455 |
| 3 | 455 | 5 | 91 |
| 4 | 91 | 7 | 13 |
| 5 | 13 | 13 | 1 |
Prime Factors
The prime factors of 6,825 are: 3, 5, 7, 13
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Understanding Prime Factorization
The prime factorization of 6,825 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,825
- Break it down into its prime factors: 3, 5, 7, 13
- Final expression: 3 × 52 × 7 × 13