Prime Factorization of 7,800
Answer
7,800 = 23 × 3 × 52 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,800 | 2 | 3,900 |
| 2 | 3,900 | 2 | 1,950 |
| 3 | 1,950 | 2 | 975 |
| 4 | 975 | 3 | 325 |
| 5 | 325 | 5 | 65 |
| 6 | 65 | 5 | 13 |
| 7 | 13 | 13 | 1 |
Prime Factors
The prime factors of 7,800 are: 2, 3, 5, 13
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Understanding Prime Factorization
The prime factorization of 7,800 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,800
- Break it down into its prime factors: 2, 3, 5, 13
- Final expression: 23 × 3 × 52 × 13