2022 tickets are marked with different integers from 1 to 2022 and placed in a bowl. How many tickets are to be drawn from the ball at random two ensure that the integer of a ticket drawn is a factor of the integer of another ticket drawn
2022 / 2 + 1 ==1012
We cannot pick two numbers from that range with ratio greater than 2022/1012<2.
Any number less then 1012 is a factor of some number between 1012 and 2022
The answer is 1011+1=1012.