Prime Factorization of 9,300
Answer
9,300 = 22 × 3 × 52 × 31
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,300 | 2 | 4,650 |
| 2 | 4,650 | 2 | 2,325 |
| 3 | 2,325 | 3 | 775 |
| 4 | 775 | 5 | 155 |
| 5 | 155 | 5 | 31 |
| 6 | 31 | 31 | 1 |
Prime Factors
The prime factors of 9,300 are: 2, 3, 5, 31
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Understanding Prime Factorization
The prime factorization of 9,300 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,300
- Break it down into its prime factors: 2, 3, 5, 31
- Final expression: 22 × 3 × 52 × 31