Prime Factorization of 9,828
Answer
9,828 = 22 × 33 × 7 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,828 | 2 | 4,914 |
| 2 | 4,914 | 2 | 2,457 |
| 3 | 2,457 | 3 | 819 |
| 4 | 819 | 3 | 273 |
| 5 | 273 | 3 | 91 |
| 6 | 91 | 7 | 13 |
| 7 | 13 | 13 | 1 |
Prime Factors
The prime factors of 9,828 are: 2, 3, 7, 13
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Understanding Prime Factorization
The prime factorization of 9,828 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,828
- Break it down into its prime factors: 2, 3, 7, 13
- Final expression: 22 × 33 × 7 × 13