Find the highest power of 2 in 1440.

Given :

The given number is 1440.

To do :

We have to find the highest power of 2 in 1440.

Solution :

                2 |  1440

              __|_______   

                2 |  720

              __|_______ 

                2 |  360

              __|_______       

                2 |  180

              __|_______

                2 |  90

              __|_______ 

               3  |  45

              __|_______          

               3  |  15

              __|_______    

                        5

$1440 = 2\times 2\times 2\times 2\times 2\times 3\times 3\times 5$

           $2^5 \times 3^2 \times 5$

Therefore, the highest power of 2 in 1440 is 5.

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Updated on: 10-Oct-2022

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