Question

Find the smallest number by which 9000 should be divided to make it a perfect cube .​

Answer 1

9000 is not a perfect cube

Answer 2

Answer: 9

Step-by-step explanation:

To find the smallest number by which 9000 should be divided to make it a perfect cube , first of all, we should prime factorise 9000

When we prime factorise 9000 , we get ,

9000 = 2×2×2×3×3×5×5×5

We can also write this as,

9000 = (2×2×2) × (5×5×5) × 3×3

From this it is clear that , if 3×3 is exucluded from the above factorisation, the remaing numbers will make a perfect cube

So, the number that is to be divided with 9000 to make it a perfect cube is = 3 × 3 = 9

∴ 9 is the required answer