What is the largest power of 20 contained in 100 factorial?
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Question: What is the largest power of 20 contained in 100 factorial?
Solution: In order to solve this we have to calculate the prime factors of 20 i.e 5*2*2
highest prime factor is 5, so the no. of power of 20 will solely depend on power of 5
Now, 100/5 = 20 and also 100/25 = 4
so the power of 5 will be 20+4 = 24
and => power of 20 = 24
Therefore, the largest power of 20 contained in 100 factorial is 24. [Ans]
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