Solve 30!/10!

$$\frac { 30 ! } { 10 ! }$$

Evaluate

$$73096577329197271449600000$$

Solution Steps

The factorial of 30 is 265252859812191058636308480000000.

$$\frac{265252859812191058636308480000000}{10!}$$

The factorial of 10 is 3628800.

$$\frac{265252859812191058636308480000000}{3628800}$$

Divide 265252859812191058636308480000000 by 3628800 to get 73096577329197271449600000.

$$73096577329197271449600000$$

Factor

$$2^{18}\times 3^{10}\times 5^{5}\times 7^{3}\times 11^{2}\times 13^{2}\times 17\times 19\times 23\times 29$$