+0  
 
-1
58
2
avatar+56 

How many zeros are at the end of 380! 

 Feb 10, 2020
 #1
avatar+288 
+1

Used this website: https://coolconversion.com/math/factorial/What-is-the-factorial-of_380_%3F

 

It's 94.

 

I don't know how to do this mathematically though...

 Feb 10, 2020
edited by AnimalMaster  Feb 10, 2020
 #2
avatar+109064 
+1

To calculate  the number of trailing zeroes  we have

 

integer (380 / 5^1)  + integer (380 / 5^2 ) + integer (380 / 5^3)  =

 

integer  (380  / 5)   + integer (380 / 25)  + integer (380 / 125)  =

 

76    +    15   +     3   =

 

94  trailing zeroes

 

 

cool cool cool

 Feb 10, 2020
edited by CPhill  Feb 10, 2020

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