Solve 20!/16!+20!/8!

$$\frac{ 20 ! }{ 16 ! } + \frac{ 20 ! }{ 8 ! }$$

Evaluate

$$60339831668280$$

Solution Steps

The factorial of 20 is 2432902008176640000.

$$\frac{2432902008176640000}{16!}+\frac{20!}{8!}$$

The factorial of 16 is 20922789888000.

$$\frac{2432902008176640000}{20922789888000}+\frac{20!}{8!}$$

Divide 2432902008176640000 by 20922789888000 to get 116280.

$$116280+\frac{20!}{8!}$$

The factorial of 20 is 2432902008176640000.

$$116280+\frac{2432902008176640000}{8!}$$

The factorial of 8 is 40320.

$$116280+\frac{2432902008176640000}{40320}$$

Divide 2432902008176640000 by 40320 to get 60339831552000.

$$116280+60339831552000$$

Add 116280 and 60339831552000 to get 60339831668280.

$$60339831668280$$

Factor

$$2^{3}\times 3^{2}\times 5\times 17\times 19\times 11317\times 45853$$