Prime Factorization of 8,352
Answer
8,352 = 25 × 32 × 29
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,352 | 2 | 4,176 |
| 2 | 4,176 | 2 | 2,088 |
| 3 | 2,088 | 2 | 1,044 |
| 4 | 1,044 | 2 | 522 |
| 5 | 522 | 2 | 261 |
| 6 | 261 | 3 | 87 |
| 7 | 87 | 3 | 29 |
| 8 | 29 | 29 | 1 |
Prime Factors
The prime factors of 8,352 are: 2, 3, 29
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Understanding Prime Factorization
The prime factorization of 8,352 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,352
- Break it down into its prime factors: 2, 3, 29
- Final expression: 25 × 32 × 29