Prime Factorization of 7,680
Answer
7,680 = 29 × 3 × 5
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,680 | 2 | 3,840 |
| 2 | 3,840 | 2 | 1,920 |
| 3 | 1,920 | 2 | 960 |
| 4 | 960 | 2 | 480 |
| 5 | 480 | 2 | 240 |
| 6 | 240 | 2 | 120 |
| 7 | 120 | 2 | 60 |
| 8 | 60 | 2 | 30 |
| 9 | 30 | 2 | 15 |
| 10 | 15 | 3 | 5 |
| 11 | 5 | 5 | 1 |
Prime Factors
The prime factors of 7,680 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 7,680 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,680
- Break it down into its prime factors: 2, 3, 5
- Final expression: 29 × 3 × 5