Prime Factorization of 5,724
Answer
5,724 = 22 × 33 × 53
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 5,724 | 2 | 2,862 |
| 2 | 2,862 | 2 | 1,431 |
| 3 | 1,431 | 3 | 477 |
| 4 | 477 | 3 | 159 |
| 5 | 159 | 3 | 53 |
| 6 | 53 | 53 | 1 |
Prime Factors
The prime factors of 5,724 are: 2, 3, 53
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Understanding Prime Factorization
The prime factorization of 5,724 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,724
- Break it down into its prime factors: 2, 3, 53
- Final expression: 22 × 33 × 53