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

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5 to the power k is a factor of the product of odd integers [#permalink] New post 12 Nov 2003, 11:02
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?
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 [#permalink] New post 12 Nov 2003, 11:49
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.
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 [#permalink] New post 14 Nov 2003, 20:55
wow. this was a good one.
Do we see these kinda on real GMAT? Jus' curious.. :?:
  [#permalink] 14 Nov 2003, 20:55
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5 to the power k is a factor of the product of odd integers

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