Prime Factorization of 8,184
Answer
8,184 = 23 × 3 × 11 × 31
Step by Step Solution
Step | Number | Divide by | Result |
---|---|---|---|
1 | 8,184 | 2 | 4,092 |
2 | 4,092 | 2 | 2,046 |
3 | 2,046 | 2 | 1,023 |
4 | 1,023 | 3 | 341 |
5 | 341 | 11 | 31 |
6 | 31 | 31 | 1 |
Prime Factors
The prime factors of 8,184 are: 2, 3, 11, 31
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Understanding Prime Factorization
The prime factorization of 8,184 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,184
- Break it down into its prime factors: 2, 3, 11, 31
- Final expression: 23 × 3 × 11 × 31