SOLUTION: The notation n! = n•(n-1)•(n–2)• • • • • •3•2•1. For example, 5! = 5•4•3•2•1 = 120. How many zeroes occur at the end of the expanded numeral for 100!?

Algebra.Com
Question 1115766: The notation n! = n•(n-1)•(n–2)• • • • • •3•2•1. For example, 5! = 5•4•3•2•1 = 120. How many zeroes occur at the end of the expanded numeral for 100!?
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
.
It was solved and answered under this link
https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1115588.html

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.1115588.html



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
The number of trailing zeros in the decimal representation of , the factorial of a non-negative integer , can be determined with this formula:
+...+ where must be chosen such that

so, has trailing zeros

RELATED QUESTIONS

The notation n! = n•(n-1)•(n–2)• • • • • •3•2•1. For example, 5! = 5•4•3•2•1 = 120. How... (answered by MathLover1)
How many 9s are there at the end of the number (60!-50!-1)?... (answered by greenestamps)
A permutation of the numbers (1,2,3,\dots,n) is a rearrangement of the numbers in which... (answered by CPhill)
Express the following series using the sigma notation. {{{(3^2 - 2^0)/5^1}}} + {{{(3^3 (answered by math_helper)
For what integral values of n is the expression 1^n + 2^n + 3^n + 4^n divisible by 5?... (answered by venugopalramana)
For positive integer values of N, let N be defined as: N = 2 + 4 + 6 + ... + N, if N (answered by Edwin McCravy)
Which of the following expressions must be positive for all values of n? n^2 + n... (answered by josgarithmetic)
Find the number of zeroes at the end of 5^(n!) factorial (answered by tommyt3rd)
Define factorial notation. (Assume that n is a natural number.) 1) n! = n + (n − 1) (answered by ikleyn)