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11 Feb 2009, 17:21
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Someone helps me, thanks !
How positive integers less than 100 have exactly 4 odd factors but no even factors?
A. 13
B. 14
C. 15
D. 16
E. 17
How positive integers less than 100 have exactly 4 odd factors but no even factors?
A. 13
B. 14
C. 15
D. 16
E. 17
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11 Feb 2009, 20:03
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baggio
The only possible integers that have 4 odd integers as factors are:
The possible prime factors: 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.
with 3, any of the above prime number is possible = 9 ways
with 5, any of the above prime number smaller than 19 is possible = 5 ways
with 7, any of the above prime number smaller than 13 is possible = 2 ways
with 11 and above, none.
got 16.
Definitely a good one.
Previously thought the question is wrong.
