Prime Factorization of 7,560
Answer
7,560 = 23 × 33 × 5 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,560 | 2 | 3,780 |
| 2 | 3,780 | 2 | 1,890 |
| 3 | 1,890 | 2 | 945 |
| 4 | 945 | 3 | 315 |
| 5 | 315 | 3 | 105 |
| 6 | 105 | 3 | 35 |
| 7 | 35 | 5 | 7 |
| 8 | 7 | 7 | 1 |
Prime Factors
The prime factors of 7,560 are: 2, 3, 5, 7
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Understanding Prime Factorization
The prime factorization of 7,560 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,560
- Break it down into its prime factors: 2, 3, 5, 7
- Final expression: 23 × 33 × 5 × 7