Question

By what number should we divide 23232 to make it a perfect square? Pls explain it briefly by writing or by posting a image of the solution.

Answer 1

hope this answer may helps uh...

Answer 2

Solution :-

Let us find the prime factors of 23232.

               
                  __________
               2 | 23232
                  |_________
               2 | 11616
                  |_________
               2 |   5808
                  |_________
               2 |   2904
                  |_________
               2 |   1452
                  |_________
               2 |     726
                  |_________
               3 |     363
                  |_________
             11 |     121
                  |_________
             11 |       11
                  |________
                  |        1
                  
So, 23232 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11

We can see that 3 does not have a pair.

If we divide 23232 by 3, we will get a perfect square.

⇒ 23232 ÷ 3 = 7744

7744 is a perfect square.

7744 = 2*2*2*2*2*2*11*11

√7744 = 2*2*2*11 = 8

So, 23232 must be divided by 3 to make it a perfect square.