Prime Factorization of 5,152
Answer
5,152 = 25 × 7 × 23
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 5,152 | 2 | 2,576 |
| 2 | 2,576 | 2 | 1,288 |
| 3 | 1,288 | 2 | 644 |
| 4 | 644 | 2 | 322 |
| 5 | 322 | 2 | 161 |
| 6 | 161 | 7 | 23 |
| 7 | 23 | 23 | 1 |
Prime Factors
The prime factors of 5,152 are: 2, 7, 23
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Understanding Prime Factorization
The prime factorization of 5,152 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,152
- Break it down into its prime factors: 2, 7, 23
- Final expression: 25 × 7 × 23