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Q.

State whether the given statement is true or false.


The number 256 is a perfect cube.


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a

True

b

False 

answer is B.

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Detailed Solution

The given number is 256.
Find the prime factorization of 256.
2 256 2 128 2 64 2 32 2 16 2 8 2 4 2 2 1 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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State whether the given statement is true or false.The number 256 is a perfect cube.