Q.

The highest power of 12 that divides 54 ! is _______

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answer is 25.

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Detailed Solution

Max power of  22  in  54!=[maxpowerof2in54!2]=25
Max power of 3 in 54!=26
Since the max power of  22 is less than the max power of 3
=25

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The highest power of 12 that divides 54 ! is _______