Prime Factorization of 9,900
Answer
9,900 = 22 × 32 × 52 × 11
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,900 | 2 | 4,950 |
| 2 | 4,950 | 2 | 2,475 |
| 3 | 2,475 | 3 | 825 |
| 4 | 825 | 3 | 275 |
| 5 | 275 | 5 | 55 |
| 6 | 55 | 5 | 11 |
| 7 | 11 | 11 | 1 |
Prime Factors
The prime factors of 9,900 are: 2, 3, 5, 11
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Understanding Prime Factorization
The prime factorization of 9,900 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,900
- Break it down into its prime factors: 2, 3, 5, 11
- Final expression: 22 × 32 × 52 × 11