​is 1296 a perfect cube, if not by which smallest natural number should 1296 be divided so that the quotient is a perfect cube ?

Dear student

12963=2×2×2×2×3×3×3×33=62×33So, 1296 is not a perfect cube.The smallest number by which 1296 should be divided to make a perfect cube is 6i.e., 12966=216and 2163=6×6×63=6
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