Prime Factorization of 7,650
Answer
7,650 = 2 × 32 × 52 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,650 | 2 | 3,825 |
| 2 | 3,825 | 3 | 1,275 |
| 3 | 1,275 | 3 | 425 |
| 4 | 425 | 5 | 85 |
| 5 | 85 | 5 | 17 |
| 6 | 17 | 17 | 1 |
Prime Factors
The prime factors of 7,650 are: 2, 3, 5, 17
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Understanding Prime Factorization
The prime factorization of 7,650 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,650
- Break it down into its prime factors: 2, 3, 5, 17
- Final expression: 2 × 32 × 52 × 17