Prime Factorization of 6,624
Answer
6,624 = 25 × 32 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 6,624 | 2 | 3,312 |
| 2 | 3,312 | 2 | 1,656 |
| 3 | 1,656 | 2 | 828 |
| 4 | 828 | 2 | 414 |
| 5 | 414 | 2 | 207 |
| 6 | 207 | 3 | 69 |
| 7 | 69 | 3 | 23 |
| 8 | 23 | 23 | 1 |
Prime Factors
The prime factors of 6,624 are: 2, 3, 23
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Understanding Prime Factorization
The prime factorization of 6,624 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 6,624
- Break it down into its prime factors: 2, 3, 23
- Final expression: 25 × 32 × 23