Prime Factorization of 6,336
Answer
6,336 = 26 × 32 × 11
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,336 | 2 | 3,168 |
| 2 | 3,168 | 2 | 1,584 |
| 3 | 1,584 | 2 | 792 |
| 4 | 792 | 2 | 396 |
| 5 | 396 | 2 | 198 |
| 6 | 198 | 2 | 99 |
| 7 | 99 | 3 | 33 |
| 8 | 33 | 3 | 11 |
| 9 | 11 | 11 | 1 |
Prime Factors
The prime factors of 6,336 are: 2, 3, 11
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Understanding Prime Factorization
The prime factorization of 6,336 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,336
- Break it down into its prime factors: 2, 3, 11
- Final expression: 26 × 32 × 11