2 thoughts on “Find the smallest number by which 88209 can be divided so that the quotient is a perfect cube.”
Answer:
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
Answer:
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
To find the smallest number by which 88209 must be divided so that the quotient is a perfect cube, we have to find the prime factors of 88209.
88209=3x3x3x3x3x3x11x11
Prime factors of 88209 are 3,3,3,3,3,3,11,11.
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.