Question

Divide the no. 26244 by the smallest no. so that the quotient is a perfect cube. Also find the cube root of the quotient

Answer 1

26244 = 2×2×3×3×3×3×3×3×3×3. So, 2x2x 3x 3 = 36 is the smallest number by which 26244 must be divided so that the quotient is a perfect cube. So, dividing 26244 by 36 will give us the required quotient = 729. Therefore, the cube root of the quotient = ³√729= 9. This was what I got.