Prime Factorization of 3,744
Answer
3,744 = 25 × 32 × 13
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,744 | 2 | 1,872 |
| 2 | 1,872 | 2 | 936 |
| 3 | 936 | 2 | 468 |
| 4 | 468 | 2 | 234 |
| 5 | 234 | 2 | 117 |
| 6 | 117 | 3 | 39 |
| 7 | 39 | 3 | 13 |
| 8 | 13 | 13 | 1 |
Prime Factors
The prime factors of 3,744 are: 2, 3, 13
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Understanding Prime Factorization
The prime factorization of 3,744 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,744
- Break it down into its prime factors: 2, 3, 13
- Final expression: 25 × 32 × 13