Solve 25!/12!*13!

$$\frac { 25 ! } { 12 ! \cdot 13 ! }$$

Evaluate

$$5200300$$

Solution Steps

The factorial of 25 is 15511210043330985984000000.

$$\frac{15511210043330985984000000}{12!\times 13!}$$

The factorial of 12 is 479001600.

$$\frac{15511210043330985984000000}{479001600\times 13!}$$

The factorial of 13 is 6227020800.

$$\frac{15511210043330985984000000}{479001600\times 6227020800}$$

Multiply 479001600 and 6227020800 to get 2982752926433280000.

$$\frac{15511210043330985984000000}{2982752926433280000}$$

Divide 15511210043330985984000000 by 2982752926433280000 to get 5200300.

$$5200300$$

Factor

$$2^{2}\times 5^{2}\times 7\times 17\times 19\times 23$$