Prime Factorization of 6,144
Answer
6,144 = 211 × 3
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,144 | 2 | 3,072 |
| 2 | 3,072 | 2 | 1,536 |
| 3 | 1,536 | 2 | 768 |
| 4 | 768 | 2 | 384 |
| 5 | 384 | 2 | 192 |
| 6 | 192 | 2 | 96 |
| 7 | 96 | 2 | 48 |
| 8 | 48 | 2 | 24 |
| 9 | 24 | 2 | 12 |
| 10 | 12 | 2 | 6 |
| 11 | 6 | 2 | 3 |
| 12 | 3 | 3 | 1 |
Prime Factors
The prime factors of 6,144 are: 2, 3
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Understanding Prime Factorization
The prime factorization of 6,144 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,144
- Break it down into its prime factors: 2, 3
- Final expression: 211 × 3