Question 34

What is the greatest power of 5 which can divide 80! exactly?

Name: What is the greatest power of 5 which can divide 80! exactly?
Uploaded: Nov. 22, 2021, 10:48 a.m.
Duration: 1 min 2 s
Description: What is the greatest power of 5 which can divide 80! exactly?

Solution

The highest power of 5 in 80! = [80/5] + [$$80/5^2$$] = 16 + 3 = 19

So, the highest power of 5 which divides 80! exactly = 19

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