Advertisements
Advertisements
प्रश्न
The following number is a perfect cube or not?
100
योग
उत्तर
The prime factorisation of 100 is as follows:
| 2 | 100 |
| 2 | 50 |
| 5 | 25 |
| 5 | 5 |
| 1 |
100 = 2 × 2 × 5 × 5
Here in the prime factorisation of 100, the numbers 2 and 5 are not in groups of three.
Therefore, 100 is not a perfect cube.
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
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?
1000
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.
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?
Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.
363 × 81 is a perfect cube.
