$$1!=1$$
$$2!=1.2$$
$$3!=1.2.3$$
$$4!=1.2.3.4$$
$$\vdots$$
$$22!=1.2.3.4...22$$ Bu eşitlikler taraf taraf çarpılırsa $$1!.2!.3!...22!=1^{22}.2^{21}.3^{20}...21^2.22$$
$$=2^{21+2+1+3+1+2+1+4+1+2+1}.3^{20+1+2+1+1+2+1}.5^{18+1+1+1}.7^{16+1+1}.11^{12+1}.13^{10}.17^{6}.19^4$$
$$=2^{39}.3^{28}.5^{21}.7^{18}.11^{13}.13^{10}.17^6.19^4$$