Kanbay - 51 factorial endedwith how many zeros?

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51 factorial endedwith how many zeros?

Total Answers and Comments: 4

Last Update: February 24, 2007 Asked by: munna

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February 16, 2006 07:07:24

RE: 51 factorial endedwith how many zeros?

Factorial 0! equals 1

1551118753287380000000000000000000000000000000000000000000000000000

No of Zeros :52

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February 18, 2006 10:03:02

Abhishek

RE: 51 factorial endedwith how many zeros?

one zero is made up of one five(5) and one two(2)

i.e 5x2 10.

in 51 factorial 5 occurs 12 times and 2 more than that

therefore combination of both will give 12 zeros.

50 5x5x2

45 5x9

40 5x8 35 7x5 30 6x5 25 5x5 20 5x4 15 5x3 10 5x2 5 5x1

in total 12 5's.

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February 15, 2007 11:14:33

vinayprasad2006

Member Since: February 2007 Contribution: 1

RE: 51 factorial endedwith how many zeros?

The answer is 10 zeros.Explanation:To make a zero it requires a 5 and a 2 or a 10.from 1 to 10 we have a (5 2) and a 10 so multiplication of all would give 2 zeros.similarly from 11 to 20 another 2.so in total for 51! we have 10 zeros.

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February 24, 2007 10:13:36

manish

RE: 51 factorial endedwith how many zeros?

[ 51/5 ] +[51/5^2 ] +..... 12

[51/2] +[51/2^2]+[51/2^3] +[51/2^4]+[51/2^5] +......... 47

since there are 12 5's and 47 2's
we can multiply 12 5's and 12 2's to get 10^12

thus we will have 12 0's at the end of 51!

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