Question

4. Find the smallest number by which 88209 can be divided so that the quotient is a quotient is a perfect cube.​

Answer 1

Answer:

Out of the prime factors of 88209, 11 cannot be considered in its perfect cube as it have only two factors of 11. So, 11×11 is the number by which 88209 must be divided to make the quotient a perfect cube. Hence, the smallest number is 121, which when divides 88209, the quotient is 729 which is a perfect cube