Unusual zeros
Number Theory
Level
2
If divided by , find the number of trailing zero(s) from the resultant number.
The answer is 0.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
25! has 2,4,6,8,10,12,14,16,18,20,22 and 24 as even no.s. If we see 25! has 2^22 as factor. On dividing, we will get the remainder as 0.
We know to form 0 i.e. 10 has to be a multiple so 2 has to be a factor. Here 2 is not left so we cannot have a 0 at the end.