State whether the given statement is true or false.

The number 256 is a perfect cube.

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True

False

answer is B.

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Detailed Solution

The given number is 256.
Find the prime factorization of 256.

225621282642322162824221

Prime factors of

256 = 2 × 2 × 2 ¯ × 2 × 2 × 2 ¯ × 2 × 2.

Since, all the prime factors of 256 don’t occur in triplet, therefore, given number 256 isn’t a perfect cube.
Therefore, the given statement is false.
Hence, option (2) is correct.

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