Prime Factorization of 1,008
Answer
1,008 = 24 × 32 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 1,008 | 2 | 504 |
| 2 | 504 | 2 | 252 |
| 3 | 252 | 2 | 126 |
| 4 | 126 | 2 | 63 |
| 5 | 63 | 3 | 21 |
| 6 | 21 | 3 | 7 |
| 7 | 7 | 7 | 1 |
Prime Factors
The prime factors of 1,008 are: 2, 3, 7
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Understanding Prime Factorization
The prime factorization of 1,008 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 1,008
- Break it down into its prime factors: 2, 3, 7
- Final expression: 24 × 32 × 7