Prime Factorization of 9,120
Answer
9,120 = 25 × 3 × 5 × 19
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,120 | 2 | 4,560 |
| 2 | 4,560 | 2 | 2,280 |
| 3 | 2,280 | 2 | 1,140 |
| 4 | 1,140 | 2 | 570 |
| 5 | 570 | 2 | 285 |
| 6 | 285 | 3 | 95 |
| 7 | 95 | 5 | 19 |
| 8 | 19 | 19 | 1 |
Prime Factors
The prime factors of 9,120 are: 2, 3, 5, 19
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Understanding Prime Factorization
The prime factorization of 9,120 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,120
- Break it down into its prime factors: 2, 3, 5, 19
- Final expression: 25 × 3 × 5 × 19