Prime Factorization of 9,765
Answer
9,765 = 32 × 5 × 7 × 31
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,765 | 3 | 3,255 |
| 2 | 3,255 | 3 | 1,085 |
| 3 | 1,085 | 5 | 217 |
| 4 | 217 | 7 | 31 |
| 5 | 31 | 31 | 1 |
Prime Factors
The prime factors of 9,765 are: 3, 5, 7, 31
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Understanding Prime Factorization
The prime factorization of 9,765 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,765
- Break it down into its prime factors: 3, 5, 7, 31
- Final expression: 32 × 5 × 7 × 31