Prime Factorization of 9,600
Answer
9,600 = 27 × 3 × 52
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,600 | 2 | 4,800 |
| 2 | 4,800 | 2 | 2,400 |
| 3 | 2,400 | 2 | 1,200 |
| 4 | 1,200 | 2 | 600 |
| 5 | 600 | 2 | 300 |
| 6 | 300 | 2 | 150 |
| 7 | 150 | 2 | 75 |
| 8 | 75 | 3 | 25 |
| 9 | 25 | 5 | 5 |
| 10 | 5 | 5 | 1 |
Prime Factors
The prime factors of 9,600 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 9,600 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,600
- Break it down into its prime factors: 2, 3, 5
- Final expression: 27 × 3 × 52