Prime Factorization of 7,840
Answer
7,840 = 25 × 5 × 72
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,840 | 2 | 3,920 |
| 2 | 3,920 | 2 | 1,960 |
| 3 | 1,960 | 2 | 980 |
| 4 | 980 | 2 | 490 |
| 5 | 490 | 2 | 245 |
| 6 | 245 | 5 | 49 |
| 7 | 49 | 7 | 7 |
| 8 | 7 | 7 | 1 |
Prime Factors
The prime factors of 7,840 are: 2, 5, 7
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Understanding Prime Factorization
The prime factorization of 7,840 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,840
- Break it down into its prime factors: 2, 5, 7
- Final expression: 25 × 5 × 72