Prime Factorization of 6,300
Answer
6,300 = 22 × 32 × 52 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,300 | 2 | 3,150 |
| 2 | 3,150 | 2 | 1,575 |
| 3 | 1,575 | 3 | 525 |
| 4 | 525 | 3 | 175 |
| 5 | 175 | 5 | 35 |
| 6 | 35 | 5 | 7 |
| 7 | 7 | 7 | 1 |
Prime Factors
The prime factors of 6,300 are: 2, 3, 5, 7
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Understanding Prime Factorization
The prime factorization of 6,300 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,300
- Break it down into its prime factors: 2, 3, 5, 7
- Final expression: 22 × 32 × 52 × 7