Advertisements
Advertisements
Question
The following number is a perfect cube or not?
1000
Sum
Advertisements
Solution
The prime factorisation of 1000 is as follows:
| 2 | 1000 |
| 2 | 500 |
| 2 | 250 |
| 5 | 125 |
| 5 | 25 |
| 5 | 5 |
| 1 |
1000 = 2 × 2 × 2 × 5 × 5 × 5
Here, as each prime factor is appearing as many times as a perfect multiple of 3, therefore, 1000 is a perfect cube.
shaalaa.com
Is there an error in this question or solution?
