How many zeros are there at the end of 196196, when expressed in base 7?
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Step-by-step explanation:
The number of 0s in base 'b' representation of some number 'n' will be equal to the largest power of 'b' that divides 'n'.
This is true because the last digit in base 'b', representation is equal to n%b, and the digit before that is equal to (n/b)%b and so on.
The power of 14 in 1000! will be the minimum of the powers of 2,7 in 1000!. You can find them using :
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