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If K is an integer and 5^k is a factor of the product of odd

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If K is an integer and 5^k is a factor of the product of odd [#permalink] New post 22 Aug 2008, 14:26
If K is an integer and 5^k is a factor of the product of odd numbers from 99 to 199 (inclusively), what is the the largest number that K can be?



Answer is 13
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Re: Product question [#permalink] New post 22 Aug 2008, 15:29
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Jamesk486 wrote:
If K is an integer and 5^k is a factor of the product of odd numbers from 99 to 199 (inclusively), what is the the largest number that K can be?



Answer is 13


99*101*...105/5*115...125/5^3*....135/5*145/5*155/5*165/5*175/5^2*185/5,195/5*196*197*198*199

no. of 5s = 13
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Re: Product question [#permalink] New post 22 Aug 2008, 19:03
Jamesk486 wrote:
If K is an integer and 5^k is a factor of the product of odd numbers from 99 to 199 (inclusively), what is the the largest number that K can be?



Answer is 13


List odd numbers that are multiple of 5 between 99 and 199

105- 5
115-5
125- 5^3
135-5
145-5
155-5
165-5
175-5^2
185-5
195-5

Count the number of 5 =13

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Re: Product question [#permalink] New post 22 Aug 2008, 19:04
Just don't use Excel to "help" you out with it! :lol:

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Re: Product question   [#permalink] 22 Aug 2008, 19:04
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