The number of positive integers less than 2009 that have exactly three prime factors, not necessarily distinct, such that each p rime factor is greater than 10 is -------------------

prime numbers grater than 10 are 11,13,17,... etc

13^3 = 2197 > 2009

11^3 = 1331 < 2009

this implies there is only one number less than 2009 that have exactly three prime factors, not necessarily distinct, such that each p rime factor is greater than 10