Question

By what least number should 4320 be multiplied so as to obtain a number which is a perfect cube

Answer 1

Answer:

50

Step-by-step explanation:

To get the perfect cube, all the factors of the number must be perfect cube.

Thus we can split the number in its factors as follows.

4320  =  8 × 27 × 5 x 4

Here as we can see, 8 and 27 are perfect cubes.

For remaining two number, we can make perfect cube

for 5 - Multiply by 25

for 4, multiply by 2

Thus if we multiply the original number by 25 and 2, i.e. by 50, we get

216000, which is perfect cube of 60

Thus, the least number we should multiply 4320 to obtain perfect cube = 50

Answer 2

Answer:

50 is the correct answer