Given an integer n and a number base b, write a function that calculates the number of trailing zeros of the factorial of n when written in base-b.
For example, for and , the function should return 5, because:
>> dec2base(factorial(15),4)
>> '103001313131311200000'
For and , the function should return 4.
>> dec2base(factorial(10),12)
>> '1270000'
Solve

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Last Solution submitted on Jul 31, 2026

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William Chris Cleveland George Berken David Hill

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