GATE | Gate IT 2008 | Question 23

The exponent of 11 in the prime factorization of 300! is
(A) 27
(B) 28
(C) 29
(D) 30


Answer: (C)

Explanation: To get exponent of 11, first we need to get figure 11 in our series
=> Below 11, there will be no factor of 11
11*12*13*14*……..22…….33……..44………..55…….66…..77….88…99…110…121….132…..
# # # # # # # # # # (11*11) (11*12)
143………154……165…..176…..187……198…….209…..220…..231….242…..253….264…..275
11*11*2
….286……297

Total count of 11’s = 29

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