Find the smallest number with which 10368 to be divided so that it becomes a perfect cube ?

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Solution:

⇨ Expanding 10368 as the factors of prime numbers.

⇨ 10368 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

⇨ Here 2 and 3 do not have any triplet so for a perfect cube it must be divided by at least 2 x 3 = 6 so that no incomplete triplet remains.