Prime Factorization of 8,640
Answer
8,640 = 26 × 33 × 5
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,640 | 2 | 4,320 |
| 2 | 4,320 | 2 | 2,160 |
| 3 | 2,160 | 2 | 1,080 |
| 4 | 1,080 | 2 | 540 |
| 5 | 540 | 2 | 270 |
| 6 | 270 | 2 | 135 |
| 7 | 135 | 3 | 45 |
| 8 | 45 | 3 | 15 |
| 9 | 15 | 3 | 5 |
| 10 | 5 | 5 | 1 |
Prime Factors
The prime factors of 8,640 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 8,640 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,640
- Break it down into its prime factors: 2, 3, 5
- Final expression: 26 × 33 × 5