Question

Find the smallest number by which 16384 be divided so that the quotient may be a perfect cube

Answer 1

Answer: First, we prime factorize the number.

16384=2^14

14 is not a multiple of 3

So, 2 X 2 =4 (Because 14-2=12, which results in 2^2

16384/4 = 4096

Root of 4096=16

Hope this helps :)