求解 51!/49*2!

$$\frac{ 51 ! }{ 49 \times 2 ! }$$

求值

$$15827742380483492655349418535401053174114895102214144000000000000$$

求解步骤

51 的阶乘是 1551118753287382280224243016469303211063259720016986112000000000000。

$$\frac{1551118753287382280224243016469303211063259720016986112000000000000}{49\times 2!}$$

2 的阶乘是 2。

$$\frac{1551118753287382280224243016469303211063259720016986112000000000000}{49\times 2}$$

将 49 与 2 相乘，得到 98。

$$\frac{1551118753287382280224243016469303211063259720016986112000000000000}{98}$$

1551118753287382280224243016469303211063259720016986112000000000000 除以 98 得 15827742380483492655349418535401053174114895102214144000000000000。

$$15827742380483492655349418535401053174114895102214144000000000000$$

因式分解

$$2^{46}\times 3^{23}\times 5^{12}\times 7^{6}\times 11^{4}\times 13^{3}\times 17^{3}\times 19^{2}\times 23^{2}\times 29\times 31\times 37\times 41\times 43\times 47$$