Which of the following number is a perfect cube?
The prime factorization of 141:
3 | 141 |
47 | 47 |
1 |
= 
The prime factorization of 294:
2 | 294 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
= 
The prime factorization of 216:
6 | 216 |
6 | 36 |
6 | 6 |
1 |
= 
The prime factorization of 496:
2 | 496 |
2 | 248 |
2 | 124 |
2 | 62 |
31 | 31 |
1 |
= 
So, only in case of 216 a perfect pair of three 6’s is formed, Hence 216 is a perfect cube.
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