Prime Factorization of 9,200
Answer
9,200 = 24 × 52 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,200 | 2 | 4,600 |
| 2 | 4,600 | 2 | 2,300 |
| 3 | 2,300 | 2 | 1,150 |
| 4 | 1,150 | 2 | 575 |
| 5 | 575 | 5 | 115 |
| 6 | 115 | 5 | 23 |
| 7 | 23 | 23 | 1 |
Prime Factors
The prime factors of 9,200 are: 2, 5, 23
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Understanding Prime Factorization
The prime factorization of 9,200 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,200
- Break it down into its prime factors: 2, 5, 23
- Final expression: 24 × 52 × 23