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Question
If 26136 x k is a perfect cube, then the smallest value of k is
If 26136 x k is a perfect cube, then the smallest value of k is
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Solution
The correct option is B 11
26136 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 11
Making triplets, we find that the prime factor 11 do not appear in a group of three.
To make 26136 a perfect cube, we need to multiply it with 11.
Thus, 26136 x 11 is a perfect cube.
Hence, the smallest value of k is 11.
11
26136 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 11
Making triplets, we find that the prime factor 11 do not appear in a group of three.
To make 26136 a perfect cube, we need to multiply it with 11.
Thus, 26136 x 11 is a perfect cube.
Hence, the smallest value of k is 11.
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