# C Exercises: Find the number of trailing zeroes in a given factorial

## C Programming Mathematics: Exercise-10 with Solution

Write a C program to find the number of trailing zeroes in a given factorial.

Example 1:

Input: 4

Output: 0

Explanation: 4! = 24, no trailing zero.

Example 2:

Input: 6

Output: 1

Explanation: 6! = 720, one trailing zero.

Example:

Input:

n = 4

n = 5

Output:

Number of trailing zeroes of factorial 4 is 0

Number of trailing zeroes of factorial 5 is 1

**Pictorial Presentation:**

**Sample Solution:**

**C Code:**

```
#include <stdio.h>
static int trailing_Zeroes(int n)
{
int number = 0;
while (n > 0) {
number += n / 5;
n /= 5;
}
return number;
}
int main(void)
{
int n = 4;
printf("\nNumber of trailing zeroes of factorial %d is %d ", n, trailing_Zeroes(n));
n = 5;
printf("\nNumber of trailing zeroes of factorial %d is %d ", n, trailing_Zeroes(n));
return 0;
}
```

Sample Output:

Number of trailing zeroes of factorial 4 is 0 Number of trailing zeroes of factorial 5 is 1

**Flowchart: **

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**C Programming Code Editor:**

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**Previous:** Write a C program to get the column number (integer value) that corresponds to a column title as appear in an Excel sheet.

**Next:** Write a C program to count the total number of digit 1 appearing in all positive integers less than or equal to a given integer n.

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