Prime Factorization of 7,544
Answer
7,544 = 23 × 23 × 41
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,544 | 2 | 3,772 |
| 2 | 3,772 | 2 | 1,886 |
| 3 | 1,886 | 2 | 943 |
| 4 | 943 | 23 | 41 |
| 5 | 41 | 41 | 1 |
Prime Factors
The prime factors of 7,544 are: 2, 23, 41
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Understanding Prime Factorization
The prime factorization of 7,544 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,544
- Break it down into its prime factors: 2, 23, 41
- Final expression: 23 × 23 × 41