Question

How many zeros at the end of 1000!

Answer 1

NO NO NO

Answer 2

noo

Answer 3

1000! is a super large number

Answer 4

?

Answer 5

wut?

Answer 6

yah im confused

Answer 7

1000 * 999 * 998 * 997 ......... 1

Answer 8

a ok lol

Answer 9

zeros, as in the number of zeros in all the numbers up till 1000????

Answer 10

1(0,0,0)

Answer 11

249 zeros. Is this right?

Answer 12

I see there's a method. The answer that comes for me is 248

Answer 13

It is 249.

Answer 14

200+40+8=248

Answer 15

1000/5 + 1000/25 + 1000/125

Answer 16

200 + 40 + 8
248

Answer 17

any more answers?

Answer 18

haha well like a lot, there's ten in every one hudred until you reach on hundred then there are 12 so 12 and 100 = 1200 I think?

Answer 19

Elementary. This is given by Legendre's formula.

Answer 20

wait
10, 20, 30, 40, 50, 60, 70, 80, 90 100 = 11
1000 x 11 = 11000 D: maybe?

Answer 21

@FoolForMath your answer?

Answer 22

thats not possible

Answer 23

248.

Answer 24

yeah that is what i got

Answer 25

248

Answer 26

To find the multiplicity of 5 in 1000!, use Legendre's Formula
http://en.wikipedia.org/wiki/Factorial
\[\left\lfloor
\frac{1000}{5}\right\rfloor
+\left\lfloor
\frac{1000}{5^2}\right\rfloor
+\left\lfloor
\frac{1000}{5^2}\right\rfloor
+\left\lfloor
\frac{1000}{5^3}\right\rfloor
+\left\lfloor
\frac{1000}{5^4}\right\rfloor
=200+40+8+1= 249
\]
Of course the multiplicity of 2 is more than 249.
2 and 5 together generate zeros.
There are 249 zeros.