Prime Factorization of 6,006
Answer
6,006 = 2 × 3 × 7 × 11 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,006 | 2 | 3,003 |
| 2 | 3,003 | 3 | 1,001 |
| 3 | 1,001 | 7 | 143 |
| 4 | 143 | 11 | 13 |
| 5 | 13 | 13 | 1 |
Prime Factors
The prime factors of 6,006 are: 2, 3, 7, 11, 13
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Understanding Prime Factorization
The prime factorization of 6,006 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,006
- Break it down into its prime factors: 2, 3, 7, 11, 13
- Final expression: 2 × 3 × 7 × 11 × 13