Question

25. What is the smallest number by which 24696 must be divided so that the
quotient is a perfect cube? Also find the cube root of the quotient.​

Answer 1

26244=3×3×3×3×3×3×3×3×2×2x2×2×3×3=36 is the smallest number by which 26244 must be divided so that the quotient is a perfect cube.

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Answer 2

on factorising 24696 we get

= 2*2*2*3*3*7*7*7

= 2³*3²*7³

so if we divide 24696 by 3² = 9 then we get 2744

which is a perfect cube and it's cube root is 2*7 = 14