Prime Factorization of 4,608
Answer
4,608 = 29 × 32
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 4,608 | 2 | 2,304 |
| 2 | 2,304 | 2 | 1,152 |
| 3 | 1,152 | 2 | 576 |
| 4 | 576 | 2 | 288 |
| 5 | 288 | 2 | 144 |
| 6 | 144 | 2 | 72 |
| 7 | 72 | 2 | 36 |
| 8 | 36 | 2 | 18 |
| 9 | 18 | 2 | 9 |
| 10 | 9 | 3 | 3 |
| 11 | 3 | 3 | 1 |
Prime Factors
The prime factors of 4,608 are: 2, 3
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Understanding Prime Factorization
The prime factorization of 4,608 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 4,608
- Break it down into its prime factors: 2, 3
- Final expression: 29 × 32