Prime Factorization of 8,160
Answer
8,160 = 25 × 3 × 5 × 17
Step by Step Solution
Step | Number | Divide by | Result |
---|---|---|---|
1 | 8,160 | 2 | 4,080 |
2 | 4,080 | 2 | 2,040 |
3 | 2,040 | 2 | 1,020 |
4 | 1,020 | 2 | 510 |
5 | 510 | 2 | 255 |
6 | 255 | 3 | 85 |
7 | 85 | 5 | 17 |
8 | 17 | 17 | 1 |
Prime Factors
The prime factors of 8,160 are: 2, 3, 5, 17
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Understanding Prime Factorization
The prime factorization of 8,160 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,160
- Break it down into its prime factors: 2, 3, 5, 17
- Final expression: 25 × 3 × 5 × 17