Prime Factorization of 7,776
Answer
7,776 = 25 × 35
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,776 | 2 | 3,888 |
| 2 | 3,888 | 2 | 1,944 |
| 3 | 1,944 | 2 | 972 |
| 4 | 972 | 2 | 486 |
| 5 | 486 | 2 | 243 |
| 6 | 243 | 3 | 81 |
| 7 | 81 | 3 | 27 |
| 8 | 27 | 3 | 9 |
| 9 | 9 | 3 | 3 |
| 10 | 3 | 3 | 1 |
Prime Factors
The prime factors of 7,776 are: 2, 3
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Understanding Prime Factorization
The prime factorization of 7,776 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,776
- Break it down into its prime factors: 2, 3
- Final expression: 25 × 35