Prime Factorization of 7,200
Answer
7,200 = 25 × 32 × 52
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 7,200 | 2 | 3,600 |
| 2 | 3,600 | 2 | 1,800 |
| 3 | 1,800 | 2 | 900 |
| 4 | 900 | 2 | 450 |
| 5 | 450 | 2 | 225 |
| 6 | 225 | 3 | 75 |
| 7 | 75 | 3 | 25 |
| 8 | 25 | 5 | 5 |
| 9 | 5 | 5 | 1 |
Prime Factors
The prime factors of 7,200 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 7,200 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 7,200
- Break it down into its prime factors: 2, 3, 5
- Final expression: 25 × 32 × 52