Advertisements
Advertisements
प्रश्न
The following number is a perfect cube or not?
1000
बेरीज
उत्तर
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
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
The following number is a perfect cube or not?
216
The following number is a perfect cube or not?
128
The following number is a perfect cube or not?
100
The following number is a perfect cube or not?
46656
Is 243 a perfect cube?
Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?
Is 1188 a perfect cube? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?
There are five perfect cubes between 1 and 100.
999 is a perfect cube.
363 × 81 is a perfect cube.
