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Question
363 × 81 is a perfect cube.
Options
True
False
Solution
This statement is False.
Explanation:
∵ 363 × 81 = 3 × 11 × 11 × 3 × 3 × 3 × 3
= 3 × 3 × 3 × 3 × 3 × 11 × 11
Grouping the factors in triples of equal factors, we have
363 × 81 = (3 × 3 × 3) × 3 × 3 × 11 × 11
Clearly, in grouping, the factors in triplets of equal factors, we are left with two factors 3 × 3 and 11 × 11.
Hence, 363 × 81 is not a perfect cube.
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