Question

The sum of the digits of the smallest number by which 1440 be multiplied so that it becomes a perfect cube is

Answer 1

2 x 2 x 2 x 2 x2 x 3 x 3 x 5

We need to multiply with 2 x 3 x 5 x 5 = 150 so we get perect cube

The sum of the digits = 1+5+0 = 6

Answer 2

Answer:

6

Step-by-step explanation:

Smallest number = 1440 (Given)

Finding the LCM of the given number -  

3 | 1440

3 | 480

2 | 160

2 | 80

2 | 40

2 | 20  

2 | 10

5 | 5

| 1

Thus, the factors are 3×3×2×2×2×2×2×5

To make it a perfect cube, it should be multiplied by  the factors -

= 3×2×5×5

= 150

Thus, the sum = 1 +5 + 0

= 6

Thus, the digit will be 6.