+0  
 
0
58
1
avatar

What is the units digit of the quotient when 10! is divided by 5^2?

 Nov 6, 2019
 #1
avatar+106539 
+1

10!

____   =

 5^2

 

10* 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

__________________________   =

              5  *    5

 

 

( 5 * 2)* 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

______________________________   =

              5  *    5

 

 

4!  *  6 * 7 * 8 * 9 * 2

 

4!  ends  in 4

6 * 7 * 8 * 9 * 2  ends  in 8

 

So

 

10!

____     ends  in   2

 5^2

 

 

 

 

cool cool cool

 Nov 6, 2019

9 Online Users

avatar