Prime Factorization of 8,064
Answer
8,064 = 27 × 32 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,064 | 2 | 4,032 |
| 2 | 4,032 | 2 | 2,016 |
| 3 | 2,016 | 2 | 1,008 |
| 4 | 1,008 | 2 | 504 |
| 5 | 504 | 2 | 252 |
| 6 | 252 | 2 | 126 |
| 7 | 126 | 2 | 63 |
| 8 | 63 | 3 | 21 |
| 9 | 21 | 3 | 7 |
| 10 | 7 | 7 | 1 |
Prime Factors
The prime factors of 8,064 are: 2, 3, 7
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Understanding Prime Factorization
The prime factorization of 8,064 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,064
- Break it down into its prime factors: 2, 3, 7
- Final expression: 27 × 32 × 7