Prime Factorization of 9,660
Answer
9,660 = 22 × 3 × 5 × 7 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,660 | 2 | 4,830 |
| 2 | 4,830 | 2 | 2,415 |
| 3 | 2,415 | 3 | 805 |
| 4 | 805 | 5 | 161 |
| 5 | 161 | 7 | 23 |
| 6 | 23 | 23 | 1 |
Prime Factors
The prime factors of 9,660 are: 2, 3, 5, 7, 23
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Understanding Prime Factorization
The prime factorization of 9,660 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,660
- Break it down into its prime factors: 2, 3, 5, 7, 23
- Final expression: 22 × 3 × 5 × 7 × 23