Question

find the highest power of 6 in (50!)​

Answer 1

the answer is 216

Step-by-step explanation:

now you multiple 6×6=36next 36×6=216

Answer 2

Highest power of 6 in (50!)​ is 22

Given:

50!

To Find:

Highest power of 6 in (50!)​

Solution:

Find prime factor of 6

6 = 2 × 3

as 3 is larger than 2 hence power of 3 will decide the power of 6 in 50!

Power of 3 in 50!  is given by

[50/3]  + [50/3²]  + [50/3³] + [50/3⁴] + ...

[] represents greatest integer function

=[50/3]  + [50/9]  + [50/27] + [50/81] + ...

= 16 + 5 + 1 + 0 + ...

= 22

Hence highest power of 6 in (50!)​ is 22