Prime Factorization of 8,624
Answer
8,624 = 24 × 72 × 11
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,624 | 2 | 4,312 |
| 2 | 4,312 | 2 | 2,156 |
| 3 | 2,156 | 2 | 1,078 |
| 4 | 1,078 | 2 | 539 |
| 5 | 539 | 7 | 77 |
| 6 | 77 | 7 | 11 |
| 7 | 11 | 11 | 1 |
Prime Factors
The prime factors of 8,624 are: 2, 7, 11
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Understanding Prime Factorization
The prime factorization of 8,624 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,624
- Break it down into its prime factors: 2, 7, 11
- Final expression: 24 × 72 × 11