Solve (15!*13!)div12!

$$(15 ! \times 13 ! ) \div 12 !$$

Evaluate

$$16999766784000$$

Solution Steps

The factorial of 15 is 1307674368000.

$$\frac{1307674368000\times 13!}{12!}$$

The factorial of 13 is 6227020800.

$$\frac{1307674368000\times 6227020800}{12!}$$

Multiply 1307674368000 and 6227020800 to get 8142915489162854400000.

$$\frac{8142915489162854400000}{12!}$$

The factorial of 12 is 479001600.

$$\frac{8142915489162854400000}{479001600}$$

Divide 8142915489162854400000 by 479001600 to get 16999766784000.

$$16999766784000$$

Factor

$$2^{11}\times 3^{6}\times 5^{3}\times 7^{2}\times 11\times 13^{2}$$