Prime Factorization of 9,800
Answer
9,800 = 23 × 52 × 72
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,800 | 2 | 4,900 |
| 2 | 4,900 | 2 | 2,450 |
| 3 | 2,450 | 2 | 1,225 |
| 4 | 1,225 | 5 | 245 |
| 5 | 245 | 5 | 49 |
| 6 | 49 | 7 | 7 |
| 7 | 7 | 7 | 1 |
Prime Factors
The prime factors of 9,800 are: 2, 5, 7
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Understanding Prime Factorization
The prime factorization of 9,800 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,800
- Break it down into its prime factors: 2, 5, 7
- Final expression: 23 × 52 × 72