Question

Find the least number by which 23064 should be divided so that the resulting number becomes a perfect square

Answer 1

hi friend  :
prime factors of 23064 are : 2*2*2*3*31*31
pairs are :2*31
since 2*3*31 is unpaired so 23064 should be divided by 186 to get a perfect square 
 
hope i helped you 
pls mark it as brainliest answer

Answer 2

Solution :-

To find the least number by 23064 should be divided so that the resulting 

number becomes a perfect square, we have to find the prime factorization of 23064.
 

Prime factorization of 23064

        ___________
   2  |  23064
       |___________  
   2  |  11532
       |___________
   2  |   5766
       |___________
   3  |   2883
       |___________
  31 |    961
       |___________
  31 |      31
       |___________
       |        1

Prime factorization of 23064 = 2*2*2*3*31*31

We can see that only 2 and 3 are unpaired.

So, 2*3 = 6, is the least number should be divided so that the resulting

number is a perfect square.

Let us check it.

23064 ÷ 6 = 3844

√3844 = 62

Hence proved.