Question

find smallest mumber by which 8788 must by divided so that
quotient is a perfect cube.​

Answer 1

Answer:

The given number is 8788

so by prime factorisation

8788=2×2×13×13×13

as we can see that the prime factor 2 does not occur 3 times so it is not a perfect cube

hence we will divide 8788 by 4(2×2) to get quotient as a perfect cube

8788÷4 = 2×2×13×13×13÷4

2×2 will get cut by 4

which leaves 13×13×13

that equals to 2197

which is a perfect cube