Prime Factorization of 7,344
Answer
7,344 = 24 × 33 × 17
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,344 | 2 | 3,672 |
| 2 | 3,672 | 2 | 1,836 |
| 3 | 1,836 | 2 | 918 |
| 4 | 918 | 2 | 459 |
| 5 | 459 | 3 | 153 |
| 6 | 153 | 3 | 51 |
| 7 | 51 | 3 | 17 |
| 8 | 17 | 17 | 1 |
Prime Factors
The prime factors of 7,344 are: 2, 3, 17
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Understanding Prime Factorization
The prime factorization of 7,344 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,344
- Break it down into its prime factors: 2, 3, 17
- Final expression: 24 × 33 × 17