Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • The number of zeros at the end of 100 ! is

The number of zeros at the end of 100 ! is

Answers (1)

best_answer

Solution:      E_2(100!) = The exponent of 2 in (100!)

                       E_2(100!)=[frac1002]+[frac1002^2]+[frac1002^3]+[frac1002^4]+[frac1002^5]+[frac1002^6]

                       E_2(100!)=50+25+12+6+3+1=97.          

                       E_5(100!)=[frac1005]+[frac1005^2]=20+4=24.

                      E_10(100!)=Min97,24=24.               

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question