Prime Factorization of 10,005
Answer
10,005 = 3 × 5 × 23 × 29
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 10,005 | 3 | 3,335 |
| 2 | 3,335 | 5 | 667 |
| 3 | 667 | 23 | 29 |
| 4 | 29 | 29 | 1 |
Prime Factors
The prime factors of 10,005 are: 3, 5, 23, 29
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Understanding Prime Factorization
The prime factorization of 10,005 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 10,005
- Break it down into its prime factors: 3, 5, 23, 29
- Final expression: 3 × 5 × 23 × 29