Prime Factorization of 1,536
Answer
1,536 = 29 × 3
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 1,536 | 2 | 768 |
| 2 | 768 | 2 | 384 |
| 3 | 384 | 2 | 192 |
| 4 | 192 | 2 | 96 |
| 5 | 96 | 2 | 48 |
| 6 | 48 | 2 | 24 |
| 7 | 24 | 2 | 12 |
| 8 | 12 | 2 | 6 |
| 9 | 6 | 2 | 3 |
| 10 | 3 | 3 | 1 |
Prime Factors
The prime factors of 1,536 are: 2, 3
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Understanding Prime Factorization
The prime factorization of 1,536 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 1,536
- Break it down into its prime factors: 2, 3
- Final expression: 29 × 3