Question

Find the smallest number by which the following number must be divided to obtain a perfect cube. 24167​

Answer 1

Answer:

11

Step-by-step explanation:

Short:

24167÷13÷13÷13= 11

we divide 24167 by 11 to get 2197 a perfect cube.

Or

Prime factor s of 2416 = 13 x 13 x 13 x 11

Here, 11 is not 3 times

so, Perfect cube = (24167/ 11) = 2197

It takes time in typing and my typing speed is too slow. Hope you understand.

Answer 2

Answer:

Hence the smallest number by which 128 should be divided to make a perfect cube is 2 . Here, the prime factors 5 is not present as triples. Hence, we divide 135 by 5, so that the obtained number becomes a perfect cube. 135÷5=27=33 135 ÷ 5 = 27 = 3 3 is a perfect cube.

hope it helps you............