Find the maximum power of 91 in 91! ?
Question
Find the maximum power of 91 in 91! ?
Solution
To find the maximum power of 91 in 91!, we need to count the number of times 91 appears as a factor in the factorial of 91.
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First, we divide 91 by 91, which gives us 1.
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Then, we divide 91 by 91^2. But 91^2 is greater than 91, so we stop here.
So, the maximum power of 91 in 91! is 1.
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