State whether the given statement is true or false.

The number 343 is a perfect cube.

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True

False

answer is A.

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Detailed Solution

The given number is 343.
Find the prime factorization of 343.

7343749771

Prime factors of

343 = 7 × 7 × 7 ¯ .

Since, all the prime factors of 343 occur in triplet, therefore, given number 343 is a perfect cube.
Therefore, the given statement is true.
Hence, option (1) is correct.

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