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# 5 to the power k is a factor of the product of odd integers

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SVP
Joined: 16 Oct 2003
Posts: 1813
Followers: 4

Kudos [?]: 56 [0], given: 0

5 to the power k is a factor of the product of odd integers [#permalink]  12 Nov 2003, 10:02
5 to the power k is a factor of the product of odd integers from 99 to 199. What is the greatest possible value of k?
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
Followers: 1

Kudos [?]: 11 [0], given: 0

odd integers b/w 99 and 199 that 5 is a factor of:
105, 115, 125, 135, 145, 155, 165, 175, 185, 195

five is a factor of all of these numbers only once EXCEPT:
125, where it is a factor three times, and
175, where it is a factor twice.

13 is my guess.
Director
Joined: 13 Nov 2003
Posts: 971
Location: Florida
Followers: 1

Kudos [?]: 35 [0], given: 0

wow. this was a good one.
Do we see these kinda on real GMAT? Jus' curious..
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