Prime Factorization of 8,008
Answer
8,008 = 23 × 7 × 11 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,008 | 2 | 4,004 |
| 2 | 4,004 | 2 | 2,002 |
| 3 | 2,002 | 2 | 1,001 |
| 4 | 1,001 | 7 | 143 |
| 5 | 143 | 11 | 13 |
| 6 | 13 | 13 | 1 |
Prime Factors
The prime factors of 8,008 are: 2, 7, 11, 13
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Understanding Prime Factorization
The prime factorization of 8,008 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,008
- Break it down into its prime factors: 2, 7, 11, 13
- Final expression: 23 × 7 × 11 × 13