Solve 46!/21!

$$\frac { 46 ! } { 21 ! }$$

Evaluate

$$107702499228112746889470806851584000000$$

Solution Steps

The factorial of 46 is 5502622159812088949850305428800254892961651752960000000000.

$$\frac{5502622159812088949850305428800254892961651752960000000000}{21!}$$

The factorial of 21 is 51090942171709440000.

$$\frac{5502622159812088949850305428800254892961651752960000000000}{51090942171709440000}$$

Divide 5502622159812088949850305428800254892961651752960000000000 by 51090942171709440000 to get 107702499228112746889470806851584000000.

$$107702499228112746889470806851584000000$$

Factor

$$2^{24}\times 3^{12}\times 5^{6}\times 7^{3}\times 11^{3}\times 13^{2}\times 17\times 19\times 23^{2}\times 29\times 31\times 37\times 41\times 43$$