Prime Factorization of 4,000
Answer
4,000 = 25 × 53
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 4,000 | 2 | 2,000 |
| 2 | 2,000 | 2 | 1,000 |
| 3 | 1,000 | 2 | 500 |
| 4 | 500 | 2 | 250 |
| 5 | 250 | 2 | 125 |
| 6 | 125 | 5 | 25 |
| 7 | 25 | 5 | 5 |
| 8 | 5 | 5 | 1 |
Prime Factors
The prime factors of 4,000 are: 2, 5
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Understanding Prime Factorization
The prime factorization of 4,000 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 4,000
- Break it down into its prime factors: 2, 5
- Final expression: 25 × 53