Prime Factorization of 7,584
Answer
7,584 = 25 × 3 × 79
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,584 | 2 | 3,792 |
| 2 | 3,792 | 2 | 1,896 |
| 3 | 1,896 | 2 | 948 |
| 4 | 948 | 2 | 474 |
| 5 | 474 | 2 | 237 |
| 6 | 237 | 3 | 79 |
| 7 | 79 | 79 | 1 |
Prime Factors
The prime factors of 7,584 are: 2, 3, 79
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Understanding Prime Factorization
The prime factorization of 7,584 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,584
- Break it down into its prime factors: 2, 3, 79
- Final expression: 25 × 3 × 79