Prime Factorization of 7,500
Answer
7,500 = 22 × 3 × 54
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,500 | 2 | 3,750 |
| 2 | 3,750 | 2 | 1,875 |
| 3 | 1,875 | 3 | 625 |
| 4 | 625 | 5 | 125 |
| 5 | 125 | 5 | 25 |
| 6 | 25 | 5 | 5 |
| 7 | 5 | 5 | 1 |
Prime Factors
The prime factors of 7,500 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 7,500 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,500
- Break it down into its prime factors: 2, 3, 5
- Final expression: 22 × 3 × 54