I have not seen ferrite beads like that with the wire already through them, but typically they are used because they provide impedance at particular frequencies. As you suggest their effectiveness increases with multiple turns through the core (goes up with the square of the number of turns, where two turns through is the same as four beads in series, three turn is nine beads, etc.).
There are various "mix" ferrite materials that have different properties. You really want to consult the data sheet to find the impedance at various frequencies. You could also test it well enough for most uses with a scope, or better a spectrum analyzer with a tracking generator.