Prime Factorization of 7,875
Answer
7,875 = 32 × 53 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,875 | 3 | 2,625 |
| 2 | 2,625 | 3 | 875 |
| 3 | 875 | 5 | 175 |
| 4 | 175 | 5 | 35 |
| 5 | 35 | 5 | 7 |
| 6 | 7 | 7 | 1 |
Prime Factors
The prime factors of 7,875 are: 3, 5, 7
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Understanding Prime Factorization
The prime factorization of 7,875 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,875
- Break it down into its prime factors: 3, 5, 7
- Final expression: 32 × 53 × 7