Solve 50!/30!

$$\frac { 50 ! } { 30 ! }$$

Evaluate

$$114660755112113373922453094400000$$

Solution Steps

The factorial of 50 is 30414093201713378043612608166064768844377641568960512000000000000.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{30!}$$

The factorial of 30 is 265252859812191058636308480000000.

$$\frac{30414093201713378043612608166064768844377641568960512000000000000}{265252859812191058636308480000000}$$

Divide 30414093201713378043612608166064768844377641568960512000000000000 by 265252859812191058636308480000000 to get 114660755112113373922453094400000.

$$114660755112113373922453094400000$$

Factor

$$2^{21}\times 3^{8}\times 5^{5}\times 7^{4}\times 11^{2}\times 13\times 17\times 19\times 23\times 31\times 37\times 41\times 43\times 47$$