Prime Factorization of 7,830
Answer
7,830 = 2 × 33 × 5 × 29
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,830 | 2 | 3,915 |
| 2 | 3,915 | 3 | 1,305 |
| 3 | 1,305 | 3 | 435 |
| 4 | 435 | 3 | 145 |
| 5 | 145 | 5 | 29 |
| 6 | 29 | 29 | 1 |
Prime Factors
The prime factors of 7,830 are: 2, 3, 5, 29
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Understanding Prime Factorization
The prime factorization of 7,830 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,830
- Break it down into its prime factors: 2, 3, 5, 29
- Final expression: 2 × 33 × 5 × 29