Prime Factorization of 3,200
Answer
3,200 = 27 × 52
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,200 | 2 | 1,600 |
| 2 | 1,600 | 2 | 800 |
| 3 | 800 | 2 | 400 |
| 4 | 400 | 2 | 200 |
| 5 | 200 | 2 | 100 |
| 6 | 100 | 2 | 50 |
| 7 | 50 | 2 | 25 |
| 8 | 25 | 5 | 5 |
| 9 | 5 | 5 | 1 |
Prime Factors
The prime factors of 3,200 are: 2, 5
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Understanding Prime Factorization
The prime factorization of 3,200 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,200
- Break it down into its prime factors: 2, 5
- Final expression: 27 × 52