Ronn!Blankenship wrote:
At 09:30 PM Sunday 4/17/2005, Julia Thompson wrote:

Ronn!Blankenship wrote:

At 08:49 PM Sunday 4/17/2005, Alberto Monteiro wrote:

Ronn!Blankenship wrote:
>
>> Yes, 2500! = 1.628 10^7411 has 7412 digits, but 500 of
>> them are zeroes
>
> 624, actually.
>
Ah, ok, I should have mentioned that 500 of them are _trailing_
zeroes. I didn't count the middle zeroes


Neither did I . . .


2500! has 500 trailing 0s from the 500 numbers divisible by 5
another 100 trailing 0s from the 100 numbers divisible by 25
another 20 trailing 0s from the 20 numbers divisible by 125
another 4 trailing 0s from the 4 numbers divisible by 625
for a total of 624 trailing 0s.

(Of course, you need a 2 to go with each 5 to give you a trailing 0, but as 2500! has as a factor 2^2495 (if I did my math right), that shouldn't be too much of a problem....)



Heck, I just counted 'em . . .

Actually I Told The Computer To Count Them For Me Maru

Telling the computer to count them is probably the most efficient method. :)


I just felt like explaining.  I'm waiting for Alberto's response now.

        Julia
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