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Question
Which of the following numbers is a cube number?
Which of the following numbers is a cube number?
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Solution
The correct option is D 1728
The prime factorisation of given numbers is as follows:
132 = 2 x 2 x 3 x 11
81 = 3 x 3 x 3 x 3
1728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
36 = 2 x 2 x 3 x 3
Clearly, the prime factors of the number 1728 can be grouped in triplets, so 1728 is a cube number.
1728
The prime factorisation of given numbers is as follows:
132 = 2 x 2 x 3 x 11
81 = 3 x 3 x 3 x 3
1728 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
36 = 2 x 2 x 3 x 3
Clearly, the prime factors of the number 1728 can be grouped in triplets, so 1728 is a cube number.
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