Solve 48!/4!*44!*4

$$\frac { 48 ! } { 4 ! \times 44 ! } \times 4$$

Evaluate

$$778320$$

Solution Steps

The factorial of 48 is 12413915592536072670862289047373375038521486354677760000000000.

$$\frac{12413915592536072670862289047373375038521486354677760000000000}{4!\times 44!}\times 4$$

The factorial of 4 is 24.

$$\frac{12413915592536072670862289047373375038521486354677760000000000}{24\times 44!}\times 4$$

The factorial of 44 is 2658271574788448768043625811014615890319638528000000000.

$$\frac{12413915592536072670862289047373375038521486354677760000000000}{24\times 2658271574788448768043625811014615890319638528000000000}\times 4$$

Multiply 24 and 2658271574788448768043625811014615890319638528000000000 to get 63798517794922770433047019464350781367671324672000000000.

$$\frac{12413915592536072670862289047373375038521486354677760000000000}{63798517794922770433047019464350781367671324672000000000}\times 4$$

Divide 12413915592536072670862289047373375038521486354677760000000000 by 63798517794922770433047019464350781367671324672000000000 to get 194580.

$$194580\times 4$$

Multiply 194580 and 4 to get 778320.

$$778320$$

Factor

$$2^{4}\times 3^{2}\times 5\times 23\times 47$$