Prime Factorization of 7,140
Answer
7,140 = 22 × 3 × 5 × 7 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,140 | 2 | 3,570 |
| 2 | 3,570 | 2 | 1,785 |
| 3 | 1,785 | 3 | 595 |
| 4 | 595 | 5 | 119 |
| 5 | 119 | 7 | 17 |
| 6 | 17 | 17 | 1 |
Prime Factors
The prime factors of 7,140 are: 2, 3, 5, 7, 17
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Understanding Prime Factorization
The prime factorization of 7,140 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,140
- Break it down into its prime factors: 2, 3, 5, 7, 17
- Final expression: 22 × 3 × 5 × 7 × 17