Prime Factorization of 7,872
Answer
7,872 = 26 × 3 × 41
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,872 | 2 | 3,936 |
| 2 | 3,936 | 2 | 1,968 |
| 3 | 1,968 | 2 | 984 |
| 4 | 984 | 2 | 492 |
| 5 | 492 | 2 | 246 |
| 6 | 246 | 2 | 123 |
| 7 | 123 | 3 | 41 |
| 8 | 41 | 41 | 1 |
Prime Factors
The prime factors of 7,872 are: 2, 3, 41
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Understanding Prime Factorization
The prime factorization of 7,872 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,872
- Break it down into its prime factors: 2, 3, 41
- Final expression: 26 × 3 × 41