Concentration of DNA by isopropanol
What you are asking about is the precipitation of DNA (or any other nucleic acid) by isopropanol (or ethanol, which is more common). To do so, you add salt (usually slightly acidic sodium acetate) which makes sure that the phosphate backbone of the DNA is saturated with sodium ions to make it less soluble. Then you add the organic solvent, which precipitates the DNA from the solution by changing the polarity of the solution. This makes the ions form salts and the DNA precipites. The principle is explained in the Wikipedia article on ethanol precipitation. Finally the solution is centrifuged to collect the DNA at the bottom of your reaction tube and to be able to take off the supernatant.