Prime Factorization of 7,812
Answer
7,812 = 22 × 32 × 7 × 31
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,812 | 2 | 3,906 |
| 2 | 3,906 | 2 | 1,953 |
| 3 | 1,953 | 3 | 651 |
| 4 | 651 | 3 | 217 |
| 5 | 217 | 7 | 31 |
| 6 | 31 | 31 | 1 |
Prime Factors
The prime factors of 7,812 are: 2, 3, 7, 31
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Understanding Prime Factorization
The prime factorization of 7,812 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,812
- Break it down into its prime factors: 2, 3, 7, 31
- Final expression: 22 × 32 × 7 × 31