can anyone tell me how many zero's at the end of 100 factorial and how to calualate it

can anyone tell me how many zero's at the end of 100 factorial and how to calualate it

No vote yet

3 votes

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestWe make a 10 by having a 2 and a 5 in the prime factorization. Since we obviously have more 2s than 5s in the prime factorization of 100!, we just need to find to find the number of 5s in the factorization of 100!. Of the first 100 integers 100/5=20 of then contain a 5 and 100/25 contain a second 5. Thus there are a total of 20+4=24 0s at the end of 100!. – Stephen New · 4 years, 3 months ago

Log in to reply

24 zeroes as [ 100/5 ] + [ 100/5^2 ] = 24 – Bhargav Das · 4 years, 3 months ago

Log in to reply

– Riya Gupta · 4 years, 3 months ago

using...gif....rite...?basic p and cLog in to reply

– Aditya Parson · 4 years, 3 months ago

what do you mean?Log in to reply

– Riya Gupta · 4 years, 3 months ago

i simply mean.....GREATEST INTEGER FUNCTION i.e. GIF or step up function...... do i need to xplain the soln...? :)Log in to reply

– Aditya Parson · 4 years, 3 months ago

Oh that, I know how to solve it. I didn't understand your comment, that is it.Log in to reply

– Riya Gupta · 4 years, 3 months ago

ok....:)Log in to reply

– Justin Wong · 4 years, 3 months ago

gif and rite and "p and c" are not in my normal vocab, so I didn't get it at first either.Log in to reply

– Riya Gupta · 4 years, 3 months ago

its permutations and combinations....:)Log in to reply

Numbers of zeros in factorial is equal to \sum_{i=1}^k \lfloor \frac{n}{5^i} \rfloor where 5^k \leq n – Djordje Marjanovic · 4 years, 3 months ago

Log in to reply

Log in to reply

– Samuel Queen · 4 years, 3 months ago

Yes this is the solution if you mean the number of 0's at the end of N! Observe that 7!=5040 has 2 0's but the method yields 1.Log in to reply

WE HAVE TO FIND THE NUMBER OF 5'S GREATEST INTEGER FUNCTION(100/5) + GREATEST INTEGER FUNCTION(100/5^2 ) SO THER WILL BE 24 ZEROS – Valliappan Ca · 4 years, 3 months ago

Log in to reply

– Tim Ye · 4 years, 3 months ago

I suggest turning off the "Caps Lock" button. It would make all of us a little happier.Log in to reply

– Aditya Parson · 4 years, 3 months ago

He initially typed in "\(29\) ZEROS",and thought that others were wrong and he was right. So that is why the use of caps. Modified his answer later.Log in to reply