Question

5400,Find the smallest number by which the given number must be divided to obtain a perfect cube.

Answer 1

Hi ,

Write given number as product of

prime numbers.

5 | 5400
________
5 | 1080
________
3 | 216
________
3| 72
________
3| 24
________
2| 8
________
2 | 4
________
2 | 2
_________
2 | 1
Therefore ,

5400 = 5 × 5 × 3 ×3×3×2×2×2

= ( 2 × 2 × 2 ) × ( 3 × 3 × 3 ) × 5 × 5

Here ,

5 is not in a group of 3 .

We have to divide given number with

( 5 × 5 = 25 ) to make it perfect cube .

Now it becomes.

5400/25= 216

216 = 6³ ( perfect cube )

I hope this helps you.

: )

Answer 2

the answer is 5400 must be divided answer becomes 25