Prime Factorization of 8,736
Answer
8,736 = 25 × 3 × 7 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,736 | 2 | 4,368 |
| 2 | 4,368 | 2 | 2,184 |
| 3 | 2,184 | 2 | 1,092 |
| 4 | 1,092 | 2 | 546 |
| 5 | 546 | 2 | 273 |
| 6 | 273 | 3 | 91 |
| 7 | 91 | 7 | 13 |
| 8 | 13 | 13 | 1 |
Prime Factors
The prime factors of 8,736 are: 2, 3, 7, 13
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Understanding Prime Factorization
The prime factorization of 8,736 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,736
- Break it down into its prime factors: 2, 3, 7, 13
- Final expression: 25 × 3 × 7 × 13