Prime Factorization of 3,900
Answer
3,900 = 22 × 3 × 52 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,900 | 2 | 1,950 |
| 2 | 1,950 | 2 | 975 |
| 3 | 975 | 3 | 325 |
| 4 | 325 | 5 | 65 |
| 5 | 65 | 5 | 13 |
| 6 | 13 | 13 | 1 |
Prime Factors
The prime factors of 3,900 are: 2, 3, 5, 13
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Understanding Prime Factorization
The prime factorization of 3,900 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,900
- Break it down into its prime factors: 2, 3, 5, 13
- Final expression: 22 × 3 × 52 × 13