Prime Factorization of 9,240
Answer
9,240 = 23 × 3 × 5 × 7 × 11
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,240 | 2 | 4,620 |
| 2 | 4,620 | 2 | 2,310 |
| 3 | 2,310 | 2 | 1,155 |
| 4 | 1,155 | 3 | 385 |
| 5 | 385 | 5 | 77 |
| 6 | 77 | 7 | 11 |
| 7 | 11 | 11 | 1 |
Prime Factors
The prime factors of 9,240 are: 2, 3, 5, 7, 11
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Understanding Prime Factorization
The prime factorization of 9,240 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,240
- Break it down into its prime factors: 2, 3, 5, 7, 11
- Final expression: 23 × 3 × 5 × 7 × 11