Find the highest power of 5 in 23750.

 Given :

The given number is 23750.

To do :

We have to find the highest power of 5 in 23750.

Solution :

                2 |  23750

              __|_______   

                5 |  11875

              __|_______ 

                5 |  2375

              __|_______       

                5 |  475

              __|_______

                5 |  95

              __|_______ 

                      19

$23750 = 2\times 5\times 5\times 5\times 5\times 19$

              $ = 2 \times 5^4 \times 19$

Therefore, the highest power of 5 in 23750 is 4.

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Updated on: 10-Oct-2022

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