Solve 33!/28!5!

$$\frac { 33 ! } { 28 ! 5 ! }$$

Evaluate

$$237336$$

Solution Steps

The factorial of 33 is 8683317618811886495518194401280000000.

$$\frac{8683317618811886495518194401280000000}{28!\times 5!}$$

The factorial of 28 is 304888344611713860501504000000.

$$\frac{8683317618811886495518194401280000000}{304888344611713860501504000000\times 5!}$$

The factorial of 5 is 120.

$$\frac{8683317618811886495518194401280000000}{304888344611713860501504000000\times 120}$$

Multiply 304888344611713860501504000000 and 120 to get 36586601353405663260180480000000.

$$\frac{8683317618811886495518194401280000000}{36586601353405663260180480000000}$$

Divide 8683317618811886495518194401280000000 by 36586601353405663260180480000000 to get 237336.

$$237336$$

Factor

$$2^{3}\times 3\times 11\times 29\times 31$$