Prime Factorization of 3,696
Answer
3,696 = 24 × 3 × 7 × 11
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,696 | 2 | 1,848 |
| 2 | 1,848 | 2 | 924 |
| 3 | 924 | 2 | 462 |
| 4 | 462 | 2 | 231 |
| 5 | 231 | 3 | 77 |
| 6 | 77 | 7 | 11 |
| 7 | 11 | 11 | 1 |
Prime Factors
The prime factors of 3,696 are: 2, 3, 7, 11
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Understanding Prime Factorization
The prime factorization of 3,696 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,696
- Break it down into its prime factors: 2, 3, 7, 11
- Final expression: 24 × 3 × 7 × 11