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How many positive integers less than \(100\) have reciprocals with terminating decimal representations???

 Feb 9, 2019
 #1
avatar+6045 
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This is equivalent to the question what positive integers less than 100 have only 2 and 5 as prime factors.

 

listing these isn't too hard

 

2, 4, 8, 16, 32, 64

5, 10, 20, 40, 80

25, 50

 

so 13 of them

 Feb 9, 2019

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