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प्रश्न
The following number is a perfect cube or not?
46656
उत्तर
The prime factorisation of 46656 is as follows:
| 2 | 46656 |
| 2 | 23328 |
| 2 | 11664 |
| 2 | 5832 |
| 2 | 2916 |
| 2 | 1458 |
| 3 | 729 |
| 3 | 243 |
| 3 | 81 |
| 3 | 27 |
| 3 | 9 |
| 3 | 3 |
| 1 |
46656 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3
Here, as each prime factor is appearing as many times as a perfect multiple of 3.
Therefore, 46656 is 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?
128
The following number is a perfect cube or not?
1000
The following number is a perfect cube or not?
100
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.
Is 243 a perfect cube?
There are five perfect cubes between 1 and 100.
999 is a perfect cube.
