Selesaikan 51!/49*2!

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

Nilaikan

$$15827742380483492655349418535401053174114895102214144000000000000$$

Langkah Penyelesaian

Faktorial 51 ialah 1551118753287382280224243016469303211063259720016986112000000000000.

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

Faktorial 2 ialah 2.

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

Darabkan 49 dan 2 untuk mendapatkan 98.

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

Bahagikan 1551118753287382280224243016469303211063259720016986112000000000000 dengan 98 untuk mendapatkan 15827742380483492655349418535401053174114895102214144000000000000.

$$15827742380483492655349418535401053174114895102214144000000000000$$

Faktor

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