Prime Factorization of 6,400
Answer
6,400 = 28 × 52
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,400 | 2 | 3,200 |
| 2 | 3,200 | 2 | 1,600 |
| 3 | 1,600 | 2 | 800 |
| 4 | 800 | 2 | 400 |
| 5 | 400 | 2 | 200 |
| 6 | 200 | 2 | 100 |
| 7 | 100 | 2 | 50 |
| 8 | 50 | 2 | 25 |
| 9 | 25 | 5 | 5 |
| 10 | 5 | 5 | 1 |
Prime Factors
The prime factors of 6,400 are: 2, 5
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Understanding Prime Factorization
The prime factorization of 6,400 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,400
- Break it down into its prime factors: 2, 5
- Final expression: 28 × 52