Solve 13!/3!3!2!

$$\frac { 13 ! } { 3 ! 3 ! 2 ! }$$

Evaluate

$$86486400$$

Solution Steps

Multiply 3! and 3! to get \left(3!\right)^{2}.

$$\frac{13!}{\left(3!\right)^{2}\times 2!}$$

The factorial of 13 is 6227020800.

$$\frac{6227020800}{\left(3!\right)^{2}\times 2!}$$

The factorial of 3 is 6.

$$\frac{6227020800}{6^{2}\times 2!}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{6227020800}{36\times 2!}$$

The factorial of 2 is 2.

$$\frac{6227020800}{36\times 2}$$

Multiply 36 and 2 to get 72.

$$\frac{6227020800}{72}$$

Divide 6227020800 by 72 to get 86486400.

$$86486400$$

Factor

$$2^{7}\times 3^{3}\times 5^{2}\times 7\times 11\times 13$$