Prime Factorization of 5,760
Answer
5,760 = 27 × 32 × 5
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 5,760 | 2 | 2,880 |
| 2 | 2,880 | 2 | 1,440 |
| 3 | 1,440 | 2 | 720 |
| 4 | 720 | 2 | 360 |
| 5 | 360 | 2 | 180 |
| 6 | 180 | 2 | 90 |
| 7 | 90 | 2 | 45 |
| 8 | 45 | 3 | 15 |
| 9 | 15 | 3 | 5 |
| 10 | 5 | 5 | 1 |
Prime Factors
The prime factors of 5,760 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 5,760 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,760
- Break it down into its prime factors: 2, 3, 5
- Final expression: 27 × 32 × 5