Prime Factorization of 9,408
Answer
9,408 = 26 × 3 × 72
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 9,408 | 2 | 4,704 |
| 2 | 4,704 | 2 | 2,352 |
| 3 | 2,352 | 2 | 1,176 |
| 4 | 1,176 | 2 | 588 |
| 5 | 588 | 2 | 294 |
| 6 | 294 | 2 | 147 |
| 7 | 147 | 3 | 49 |
| 8 | 49 | 7 | 7 |
| 9 | 7 | 7 | 1 |
Prime Factors
The prime factors of 9,408 are: 2, 3, 7
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Understanding Prime Factorization
The prime factorization of 9,408 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 9,408
- Break it down into its prime factors: 2, 3, 7
- Final expression: 26 × 3 × 72