State whether the given statement is true or false.

The number 243 is a perfect cube.

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True

False

answer is B.

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Detailed Solution

The given number is 243.
Find the prime factorization of 243.

324338132739331

Prime factors of

243 = 3 × 3 × 3 ¯ × 3 × 3.

Since, all the prime factors of 243 don’t occur in triplet, therefore, given number 243 isn’t a perfect cube.
Therefore, the given statement is false.
Hence, option (2) is correct.

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