Prime Factorization of 8,648
Answer
8,648 = 23 × 23 × 47
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,648 | 2 | 4,324 |
| 2 | 4,324 | 2 | 2,162 |
| 3 | 2,162 | 2 | 1,081 |
| 4 | 1,081 | 23 | 47 |
| 5 | 47 | 47 | 1 |
Prime Factors
The prime factors of 8,648 are: 2, 23, 47
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Understanding Prime Factorization
The prime factorization of 8,648 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,648
- Break it down into its prime factors: 2, 23, 47
- Final expression: 23 × 23 × 47