Fun with num3ers
Saturday, March 5, 2011
Factorials and Trailing Zeroes
23! has four trailing zeroes
101! has 24 trailing zeroes
1000! has 249 trailing zeroes
4617! has 1151 trailing zeroes.
http://www.purplemath.com/modules/factzero.htm
Note that 41! = 33452526613163807108170062053440751665152000000000
It is a 50 digits long, the last 9 of them are 0s. So the trailing zeros represent 18%
Find n where n! has the largest possible proportion of trailing 0s.
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