Prime Factorization of 8,928
Answer
8,928 = 25 × 32 × 31
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,928 | 2 | 4,464 |
| 2 | 4,464 | 2 | 2,232 |
| 3 | 2,232 | 2 | 1,116 |
| 4 | 1,116 | 2 | 558 |
| 5 | 558 | 2 | 279 |
| 6 | 279 | 3 | 93 |
| 7 | 93 | 3 | 31 |
| 8 | 31 | 31 | 1 |
Prime Factors
The prime factors of 8,928 are: 2, 3, 31
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Understanding Prime Factorization
The prime factorization of 8,928 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,928
- Break it down into its prime factors: 2, 3, 31
- Final expression: 25 × 32 × 31