Prime Factorization of 5,200
Answer
5,200 = 24 × 52 × 13
Step by Step Solution
Step | Number | Divide by | Result |
---|---|---|---|
1 | 5,200 | 2 | 2,600 |
2 | 2,600 | 2 | 1,300 |
3 | 1,300 | 2 | 650 |
4 | 650 | 2 | 325 |
5 | 325 | 5 | 65 |
6 | 65 | 5 | 13 |
7 | 13 | 13 | 1 |
Prime Factors
The prime factors of 5,200 are: 2, 5, 13
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Understanding Prime Factorization
The prime factorization of 5,200 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,200
- Break it down into its prime factors: 2, 5, 13
- Final expression: 24 × 52 × 13