540 is perfect cube of prime factorisation
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540 = 2*270 = 2*2*135 = 2*2*5*27 = 2*2*5*3*3*3
so we have seen that 540 is not a perfect cube of factorization.
explanation:
In order of finding perfect cube of factorization we use the following steps : Step I : Obtain the given number.
Step II : factorize it into prime factors.
Step III : Group the factors in 3 in such a way that each number of the group is same.
since, this number has only two "2"s and one "5" we cant say it a perfect cube of factorization.
(as an example of perfect cube of factorization, we can write 16=2*2*2)
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