Prime Factorization of 5,400
Answer
5,400 = 23 × 33 × 52
Step by Step Solution
Step | Number | Divide by | Result |
---|---|---|---|
1 | 5,400 | 2 | 2,700 |
2 | 2,700 | 2 | 1,350 |
3 | 1,350 | 2 | 675 |
4 | 675 | 3 | 225 |
5 | 225 | 3 | 75 |
6 | 75 | 3 | 25 |
7 | 25 | 5 | 5 |
8 | 5 | 5 | 1 |
Prime Factors
The prime factors of 5,400 are: 2, 3, 5
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Understanding Prime Factorization
The prime factorization of 5,400 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,400
- Break it down into its prime factors: 2, 3, 5
- Final expression: 23 × 33 × 52