Prime Factorization of 7,728
Answer
7,728 = 24 × 3 × 7 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,728 | 2 | 3,864 |
| 2 | 3,864 | 2 | 1,932 |
| 3 | 1,932 | 2 | 966 |
| 4 | 966 | 2 | 483 |
| 5 | 483 | 3 | 161 |
| 6 | 161 | 7 | 23 |
| 7 | 23 | 23 | 1 |
Prime Factors
The prime factors of 7,728 are: 2, 3, 7, 23
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Understanding Prime Factorization
The prime factorization of 7,728 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,728
- Break it down into its prime factors: 2, 3, 7, 23
- Final expression: 24 × 3 × 7 × 23