Question

is 53240 perfect cube? if not find the smallest number by which it should be multiplied to make it a perfect cube​

Answer 1

ANSWER

Here the prime factors if the given number

53240=2×2×2×5×11×11×11

As we know that a cube of a number consists of three numbers.

in the above factors we find that there is a triplet of 2 and 11, but not of 5.

To make a triplet for 5 we need two more 5

=5∗×5

=25

So, the required number is 25.

=53240×25

=1331000

1331000 is perfect cube of 110.

Hence, this is the answer.