Prime Factorization of 5,040
Answer
5,040 = 24 × 32 × 5 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 5,040 | 2 | 2,520 |
| 2 | 2,520 | 2 | 1,260 |
| 3 | 1,260 | 2 | 630 |
| 4 | 630 | 2 | 315 |
| 5 | 315 | 3 | 105 |
| 6 | 105 | 3 | 35 |
| 7 | 35 | 5 | 7 |
| 8 | 7 | 7 | 1 |
Prime Factors
The prime factors of 5,040 are: 2, 3, 5, 7
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Understanding Prime Factorization
The prime factorization of 5,040 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,040
- Break it down into its prime factors: 2, 3, 5, 7
- Final expression: 24 × 32 × 5 × 7