I didnt understand anything about finding exponent of a prime number p in the positive integer n??? Can someone please explain?

well..express the integer in terms of its prime factors thts all!!

actually u shud try for sums lik this:

wats the exponent of 2 and 5 in 100!

answer for 2 it is:97

answer for 5 is: 24..

the method is just 1 step..ie just reasoning.. ppl post ur solns..the faster u can do this kinda stuff the more  it helps in competitive exams lik JEE etc..

n rates for the shortest soln..

[ N/p]+[N/p^2]+[N/p^3]+........+[N/p^k]



where p^k<N<p^(k+1)

and [.] denotes the greatest integer func.

@ lil genius

wat is you 'N'??

pls dun state some formula yaar..i wanna help these ppl to get a logical short method..

neway i got ur method..i din realise there are formulae for these sums also

yeah ok..correct logic..

n for the "hope you got it" i din post the q as a doubt da..

yeah, i know the methos lol. But what is the actual meaning of exponent of prime p, in N! ?

I took 10! for example.

let p be 3.

Then [10/3] + [10/9] = 3 + 1 = 4.

3^4 = 81.

But 10! is a very big number. So exponent can be bigger than 4 and it wont still reach 10! !!! So whats the literal meaning??