Prime Factorization of 8,400
Answer
8,400 = 24 × 3 × 52 × 7
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,400 | 2 | 4,200 |
| 2 | 4,200 | 2 | 2,100 |
| 3 | 2,100 | 2 | 1,050 |
| 4 | 1,050 | 2 | 525 |
| 5 | 525 | 3 | 175 |
| 6 | 175 | 5 | 35 |
| 7 | 35 | 5 | 7 |
| 8 | 7 | 7 | 1 |
Prime Factors
The prime factors of 8,400 are: 2, 3, 5, 7
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Understanding Prime Factorization
The prime factorization of 8,400 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,400
- Break it down into its prime factors: 2, 3, 5, 7
- Final expression: 24 × 3 × 52 × 7