The smallest natural no. by which 135 must be divided to obtain a perfect cube is
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Prime factorising 135, we get,
135=5×3×3×3 =×5
We know, a perfect cube has multiples of 3 as powers of prime factors.
Here, number of 3's is 3 and number of 5's is 1.
So we need to divide the factorization by 5 to make 135 a perfect cube.
Hence, the smallest number by which 135 must be divided to obtain a perfect cube is 5.
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