Solve 50!/20!

$$\frac { 50 ! } { 20 ! }$$

Evaluate

$$12501158328406120266757143916231576780800000000$$

Solution Steps

The factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{20!}$$

The factorial of 20 is 2432902008176640000.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{2432902008176640000}$$

Divide 30414093201713378043612608166064768844377641568960512000000000000 by 2432902008176640000 to get 12501158328406120266757143916231576780800000000.

$$12501158328406120266757143916231576780800000000$$

Factor

$$2^{29}\times 3^{14}\times 5^{8}\times 7^{6}\times 11^{3}\times 13^{2}\times 17\times 19\times 23^{2}\times 29\times 31\times 37\times 41\times 43\times 47$$