Prime Factorization of 7,644
Answer
7,644 = 22 × 3 × 72 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,644 | 2 | 3,822 |
| 2 | 3,822 | 2 | 1,911 |
| 3 | 1,911 | 3 | 637 |
| 4 | 637 | 7 | 91 |
| 5 | 91 | 7 | 13 |
| 6 | 13 | 13 | 1 |
Prime Factors
The prime factors of 7,644 are: 2, 3, 7, 13
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Understanding Prime Factorization
The prime factorization of 7,644 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,644
- Break it down into its prime factors: 2, 3, 7, 13
- Final expression: 22 × 3 × 72 × 13