Prime Factorization of 4,536
Answer
4,536 = 23 × 34 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 4,536 | 2 | 2,268 |
| 2 | 2,268 | 2 | 1,134 |
| 3 | 1,134 | 2 | 567 |
| 4 | 567 | 3 | 189 |
| 5 | 189 | 3 | 63 |
| 6 | 63 | 3 | 21 |
| 7 | 21 | 3 | 7 |
| 8 | 7 | 7 | 1 |
Prime Factors
The prime factors of 4,536 are: 2, 3, 7
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Understanding Prime Factorization
The prime factorization of 4,536 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 4,536
- Break it down into its prime factors: 2, 3, 7
- Final expression: 23 × 34 × 7