Prime Factorization of 3,648
Answer
3,648 = 26 × 3 × 19
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,648 | 2 | 1,824 |
| 2 | 1,824 | 2 | 912 |
| 3 | 912 | 2 | 456 |
| 4 | 456 | 2 | 228 |
| 5 | 228 | 2 | 114 |
| 6 | 114 | 2 | 57 |
| 7 | 57 | 3 | 19 |
| 8 | 19 | 19 | 1 |
Prime Factors
The prime factors of 3,648 are: 2, 3, 19
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Understanding Prime Factorization
The prime factorization of 3,648 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,648
- Break it down into its prime factors: 2, 3, 19
- Final expression: 26 × 3 × 19