Most CPUs, both commercial and professional, are smaller than half of a credit card size. The only way to solve this problem is to use chemistry. The process of making CPU is called fabrication. The structure of CPU is so complex that even a single dust could ruin the complex circuitry on a chip.
The main component of chips is silicon, and sand has a high percentage of silicon. First silicon is purified to less than one alien atom per billion. The most common way of doing this is to first transform sand to metallurgical grade silicon by using the following reaction.