## pls help me solve this

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• find how many zeros are there in the end of 270 !
Message 1 of 4 , Aug 23, 2004
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find how many zeros are there in the end of 270 !
• The answer is 66. Its done in this way: 270/5 = 54 ( lowest integer) 54/5 = 10 10/5 = 2 Total 0s= 54+10+2 = 66 meet_sva wrote:
Message 2 of 4 , Sep 7, 2004
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Its done in this way:

270/5 = 54 ( lowest integer)
54/5   = 10
10/5  =   2
Total 0s= 54+10+2 = 66

meet_sva <meet_sva@...> wrote:

find how many zeros are there in the end of 270 !

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• No of zeros after 270!: No of factors giving 2=270/2=135 No of factors giving 4=270/4=67 No of factors giving 8=270/8=33 No of factors giving 16=270/16=16 No
Message 3 of 4 , Sep 8, 2004
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No of zeros after 270!:
No of factors giving 2=270/2=135
No of factors giving 4=270/4=67
No of factors giving 8=270/8=33
No of factors giving 16=270/16=16
No of factors giving 32=270/32=8
No of factors giving 64=270/64=4
No of factors giving 128=270/128=2
No of factors giving 256=270/256=1

No of factors giving 5=270/5=54
No of factors giving 25=270/25=10
No of factors giving 125=270/125=2

hence 270! is divisible by (5 to the power 66) * (2 to the power of 266)

hence it is divisible by 10 to the power of 66
hence no of zeros in 270!=66

VAIBHAV SAXENA
B-tech Chemical Engg(4th yr)
IIT-KGP

On Tue, 24 Aug 2004 04:42:43 -0000, meet_sva <meet_sva@...> wrote:
>
>
> find how many zeros are there in the end of 270 !
>
>
> Ascent Education
> An IIM Alumni Venture
> Class for CAT, XAT, GRE, GMAT
> http://www.ascenteducation.com
>
> Archives of past CAT questions can be viewed at http://questions.ascenteducation.com
>
> IIM CAT Preparation tips at
> http://iimcat.blogspot.com
>
>
>
>
>
• to find the number of zeros at end of any factorial given: 1.so,270!, first find which power of five is nearest to 270. so,5 power 3 is 225.it is nearest to
Message 4 of 4 , Sep 12, 2004
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to find the number of zeros at end of any factorial given:
1.so,270!,
first find which power of five is nearest to 270.
so,5 power 3 is 225.it is nearest to 270.
therefore,divide 270 by both 5 and 225.
i.e. 270/225=1.6....,so leave the numbers after point.take only 1.now 270/5=54. so ,there r total 1+54=55 zeros in the result of 270!.

arpita bhargava <arpita_bhargava@...> wrote:
Its done in this way:

270/5 = 54 ( lowest integer)
54/5   = 10
10/5  =   2
Total 0s= 54+10+2 = 66

meet_sva <meet_sva@...> wrote:

find how many zeros are there in the end of 270 !

Ascent Education
An IIM Alumni Venture
Class for CAT, XAT, GRE, GMAT
http://www.ascenteducation.com

Archives of past CAT questions can be viewed at http://questions.ascenteducation.com

IIM CAT Preparation tips at
http://iimcat.blogspot.com

Yahoo! India Matrimony: Find your partner online.

Ascent Education
An IIM Alumni Venture
Class for CAT, XAT, GRE, GMAT
http://www.ascenteducation.com

Archives of past CAT questions can be viewed at http://questions.ascenteducation.com

IIM CAT Preparation tips at
http://iimcat.blogspot.com

Yahoo! India Matrimony: Find your life partner online.

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