Prime Factorization of 5,664
Answer
5,664 = 25 × 3 × 59
Step by Step Solution
Step | Number | Divide by | Result |
---|---|---|---|
1 | 5,664 | 2 | 2,832 |
2 | 2,832 | 2 | 1,416 |
3 | 1,416 | 2 | 708 |
4 | 708 | 2 | 354 |
5 | 354 | 2 | 177 |
6 | 177 | 3 | 59 |
7 | 59 | 59 | 1 |
Prime Factors
The prime factors of 5,664 are: 2, 3, 59
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Understanding Prime Factorization
The prime factorization of 5,664 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,664
- Break it down into its prime factors: 2, 3, 59
- Final expression: 25 × 3 × 59