Resolver 30!/3!7!

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

Calcular

$$8771589279503672573952000000$$

Pasos da solución

O factor de 30 é 265252859812191058636308480000000.

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

O factor de 3 é 6.

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

O factor de 7 é 5040.

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

Multiplica 6 e 5040 para obter 30240.

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

Divide 265252859812191058636308480000000 entre 30240 para obter 8771589279503672573952000000.

$$8771589279503672573952000000$$

Factorizar

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