Paragraph: The exponent of prime number p in n ! is given by [ n p ]+ [ n p ^2 ]+ . . or _ r =1 ^ [ n p ^ r ] where [x] is greatest integer less than or equal to x . On the basis of above information answer the following : Question: The num

Question

Paragraph: The exponent of prime number p in n ! is given by [ n p ]+ [ n p ^2 ]+ . . or _ r =1 ^ [ n p ^ r ] where [x] is greatest integer less than or equal to x . On the basis of above information answer the following : Question: The number of zeros 3250 ! ends with is -

Quantrex Academy · Accepted Answer

Correct answer: D. 812

Ans. (D) aligned & [ 3250 5 ]+ [ 3250 25 ]+ [ 3250 125 ]+ [ 3250 625 ]+ [ 3250 3125 ] & =650+130+26+5+1=812 aligned

Paragraph: The exponent of prime number p in n ! is given by [ n p ]+ [ n p ^2 ]+ . . or _ r =1 ^ [ n p ^ r ] where [x] is greatest integer less than or equal to x . On the basis of above information answer the following : Question: The number of zeros 3250 ! ends with is -

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