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प्रश्न
The following number is a perfect cube or not?
128
उत्तर
The prime factorisation of 128 is as follows.
| 2 | 128 |
| 2 | 64 |
| 2 | 32 |
| 2 | 16 |
| 2 | 8 |
| 2 | 4 |
| 2 | 2 |
| 1 |
128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
Here, each prime factor is not appearing as many times as a perfect multiple of 3. One 2 is remaining after grouping the triplets of 2. Therefore, 128 is not a perfect cube.
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संबंधित प्रश्न
The following number is a perfect cube or not?
216
The following number is a perfect cube or not?
1000
The following number is a perfect cube or not?
100
The following number is a perfect cube or not?
46656
Observe the following pattern:
13 = 1
13 + 23 = (1 + 2)2
13 + 23 + 33 = (1 + 2 + 3)2
Write the next three rows and calculate the value of 13 + 23 + 33 + ... + 93 + 103 by the above pattern.
There are five perfect cubes between 1 and 100.
999 is a perfect cube.
