Published by:
CGP EDU Academic Team
Published on: August 12, 2026
A natural number 
such that 
! ends in exactly 1000 zeros is
Text Solution
Verified by ExpertsThe correct answer is:
C
Number of zeros in ends of any number = Highest power of 10 (i.e. highest power of 5 in it) as 
and 2 will be in more power than 5 hence power of 10 will be equal to power of 5 .
Number 
! will have highest power of 5 which can be calculated as
where [ ] : greatest integer function.
checking for 
For 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The number of all four digit numbers which begin with 4 and end with either zero or five is
The number of words that can be formed using the letters of the word V O W E L so that vowels remai…
The number of ways in which 6 men and 4 women can be seated around a table so that a particular man…
All possible 5 digit numbers each having 5 distinct digits are formed using digits . Among them, t…
If are two positive integers such that , then
All the letters of the word 'MOTHER' are written in all possible ways and the strings of letters (w…