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

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Manager
Joined: 30 Mar 2007
Posts: 183
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If K is an integer and 5^k is a factor of the product of odd [#permalink]  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?

Intern
Joined: 20 Jul 2008
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Kudos [?]: 3 [2] , given: 0

Re: Product question [#permalink]  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?

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
SVP
Joined: 07 Nov 2007
Posts: 1824
Location: New York
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Kudos [?]: 564 [0], given: 5

Re: Product question [#permalink]  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?

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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Joined: 30 Apr 2008
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Re: Product question [#permalink]  22 Aug 2008, 19:04
Just don't use Excel to "help" you out with it!
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J Allen Morris
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Re: Product question   [#permalink] 22 Aug 2008, 19:04
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