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Find the maximum power of 91 in 91! ?

Question

Find the maximum power of 91 in 91! ?

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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.

  1. First, we divide 91 by 91, which gives us 1.

  2. 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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