Open In App

GATE | Gate IT 2008 | Question 23

Like Article
Like
Save
Share
Report

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

Quiz of this Question


Last Updated : 28 Jun, 2021
Like Article
Save Article
Previous
Next
Share your thoughts in the comments
Similar Reads