Prime Factorization of 6,900
Answer
6,900 = 22 × 3 × 52 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,900 | 2 | 3,450 |
| 2 | 3,450 | 2 | 1,725 |
| 3 | 1,725 | 3 | 575 |
| 4 | 575 | 5 | 115 |
| 5 | 115 | 5 | 23 |
| 6 | 23 | 23 | 1 |
Prime Factors
The prime factors of 6,900 are: 2, 3, 5, 23
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Understanding Prime Factorization
The prime factorization of 6,900 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,900
- Break it down into its prime factors: 2, 3, 5, 23
- Final expression: 22 × 3 × 52 × 23