Question

find the smallest number by which the number 2407 must be divided to obtain a perfect cube​

Answer 1

For finding the smallest number by which 2407 must be divided to obtain a perfect cube we should have a look at it's prime factorization.

Prime Factorization of 2407 = 29 * 83

Now if this number were to be a perfect cube it had to be of the form :-

a³b³c³....so on and so forth

We can see here 29 and 83 cannot be factored any more , thus the least number by which 2407 must be divided to obtain a perfect cube​ is 2407 itself.

(✿◠‿◠)