Trailing Zeros in Factorial Problem

Find the number of trailing zeroes in the factorial of a given number N.

Input:

The first line contains an integer T representing the number of test cases.
Each of the following T lines contains an integer N, for which trailing zeros in N! need to be found.

Output:

For each test case, output a single integer that represents the number of trailing zeros in N!.

Example:

Input:
2
5
10

Output:

1
2

Explanation:

For N=5, the factorial 5! is 120, which has 1 trailing zero.
For N=10, the factorial 10! is 3628800, which has 2 trailing zeros.

Constraints:

  • 1 <= T <= 10^4
  • 1 <= N <= 10^9

Note: You are not required to print anything; the system handles the output. Implement the necessary function to achieve the desired result.

AnswerBot
4d

Count the number of trailing zeros in the factorial of a given number.

  • To find the number of trailing zeros in N!, count the number of factors of 5 in the prime factorization of N.

  • Each factor of 5 cont...read more

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