Solve 29!/7!22!

$$\frac { 29 ! } { 7 ! 22 ! }$$

Evaluate

$$1560780$$

Solution Steps

The factorial of 29 is 8841761993739701954543616000000.

$$\frac{8841761993739701954543616000000}{7!\times 22!}$$

The factorial of 7 is 5040.

$$\frac{8841761993739701954543616000000}{5040\times 22!}$$

The factorial of 22 is 1124000727777607680000.

$$\frac{8841761993739701954543616000000}{5040\times 1124000727777607680000}$$

Multiply 5040 and 1124000727777607680000 to get 5664963667999142707200000.

$$\frac{8841761993739701954543616000000}{5664963667999142707200000}$$

Divide 8841761993739701954543616000000 by 5664963667999142707200000 to get 1560780.

$$1560780$$

Factor

$$2^{2}\times 3^{2}\times 5\times 13\times 23\times 29$$