Solve 25!div(23!*2)

$$25 ! \div (23 ! \times 2)$$

Evaluate

$$300$$

Solution Steps

The factorial of 25 is 15511210043330985984000000.

$$\frac{15511210043330985984000000}{23!\times 2}$$

The factorial of 23 is 25852016738884976640000.

$$\frac{15511210043330985984000000}{25852016738884976640000\times 2}$$

Multiply 25852016738884976640000 and 2 to get 51704033477769953280000.

$$\frac{15511210043330985984000000}{51704033477769953280000}$$

Divide 15511210043330985984000000 by 51704033477769953280000 to get 300.

$$300$$

Factor

$$2^{2}\times 3\times 5^{2}$$