Prime Factorization of 9,996
Answer
9,996 = 22 × 3 × 72 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,996 | 2 | 4,998 |
| 2 | 4,998 | 2 | 2,499 |
| 3 | 2,499 | 3 | 833 |
| 4 | 833 | 7 | 119 |
| 5 | 119 | 7 | 17 |
| 6 | 17 | 17 | 1 |
Prime Factors
The prime factors of 9,996 are: 2, 3, 7, 17
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Understanding Prime Factorization
The prime factorization of 9,996 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,996
- Break it down into its prime factors: 2, 3, 7, 17
- Final expression: 22 × 3 × 72 × 17