Solve 30!/3!7!

$$\frac { 30 ! } { 3 ! 7 ! }$$

Evaluate

$$8771589279503672573952000000$$

Solution Steps

The factorial of 30 is 265252859812191058636308480000000.

$$\frac{265252859812191058636308480000000}{3!\times 7!}$$

The factorial of 3 is 6.

$$\frac{265252859812191058636308480000000}{6\times 7!}$$

The factorial of 7 is 5040.

$$\frac{265252859812191058636308480000000}{6\times 5040}$$

Multiply 6 and 5040 to get 30240.

$$\frac{265252859812191058636308480000000}{30240}$$

Divide 265252859812191058636308480000000 by 30240 to get 8771589279503672573952000000.

$$8771589279503672573952000000$$

Factor

$$2^{21}\times 3^{11}\times 5^{6}\times 7^{3}\times 11^{2}\times 13^{2}\times 17\times 19\times 23\times 29$$