Prime Factorization of 8,004
Answer
8,004 = 22 × 3 × 23 × 29
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,004 | 2 | 4,002 |
| 2 | 4,002 | 2 | 2,001 |
| 3 | 2,001 | 3 | 667 |
| 4 | 667 | 23 | 29 |
| 5 | 29 | 29 | 1 |
Prime Factors
The prime factors of 8,004 are: 2, 3, 23, 29
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Understanding Prime Factorization
The prime factorization of 8,004 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,004
- Break it down into its prime factors: 2, 3, 23, 29
- Final expression: 22 × 3 × 23 × 29