Prime Factorization of 8,700
Answer
8,700 = 22 × 3 × 52 × 29
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,700 | 2 | 4,350 |
| 2 | 4,350 | 2 | 2,175 |
| 3 | 2,175 | 3 | 725 |
| 4 | 725 | 5 | 145 |
| 5 | 145 | 5 | 29 |
| 6 | 29 | 29 | 1 |
Prime Factors
The prime factors of 8,700 are: 2, 3, 5, 29
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Understanding Prime Factorization
The prime factorization of 8,700 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,700
- Break it down into its prime factors: 2, 3, 5, 29
- Final expression: 22 × 3 × 52 × 29