Solve 24!/20!*4!

$$\frac { 24 ! } { 20 ! \times 4 ! }$$

Evaluate

$$10626$$

Solution Steps

The factorial of 24 is 620448401733239439360000.

$$\frac{620448401733239439360000}{20!\times 4!}$$

The factorial of 20 is 2432902008176640000.

$$\frac{620448401733239439360000}{2432902008176640000\times 4!}$$

The factorial of 4 is 24.

$$\frac{620448401733239439360000}{2432902008176640000\times 24}$$

Multiply 2432902008176640000 and 24 to get 58389648196239360000.

$$\frac{620448401733239439360000}{58389648196239360000}$$

Divide 620448401733239439360000 by 58389648196239360000 to get 10626.

$$10626$$

Factor

$$2\times 3\times 7\times 11\times 23$$