Solve ((47-30)!30!

$$( ( 47 - 30 ) ! 30 !$$

Evaluate

$$94347107501707075232916092294875054080000000000$$

Solution Steps

Subtract 30 from 47 to get 17.

$$17!\times 30!$$

The factorial of 17 is 355687428096000.

$$355687428096000\times 30!$$

The factorial of 30 is 265252859812191058636308480000000.

$$355687428096000\times 265252859812191058636308480000000$$

Multiply 355687428096000 and 265252859812191058636308480000000 to get 94347107501707075232916092294875054080000000000.

$$94347107501707075232916092294875054080000000000$$

Factor

$$2^{41}\times 3^{20}\times 5^{10}\times 7^{6}\times 11^{3}\times 13^{3}\times 17^{2}\times 19\times 23\times 29$$