Solve 47!/3!44!

$$\frac { 47 ! } { 3 ! 44 ! }$$

Evaluate

$$16215$$

Solution Steps

The factorial of 47 is 258623241511168180642964355153611979969197632389120000000000.

$$\frac{258623241511168180642964355153611979969197632389120000000000}{3!\times 44!}$$

The factorial of 3 is 6.

$$\frac{258623241511168180642964355153611979969197632389120000000000}{6\times 44!}$$

The factorial of 44 is 2658271574788448768043625811014615890319638528000000000.

$$\frac{258623241511168180642964355153611979969197632389120000000000}{6\times 2658271574788448768043625811014615890319638528000000000}$$

Multiply 6 and 2658271574788448768043625811014615890319638528000000000 to get 15949629448730692608261754866087695341917831168000000000.

$$\frac{258623241511168180642964355153611979969197632389120000000000}{15949629448730692608261754866087695341917831168000000000}$$

Divide 258623241511168180642964355153611979969197632389120000000000 by 15949629448730692608261754866087695341917831168000000000 to get 16215.

$$16215$$

Factor

$$3\times 5\times 23\times 47$$