Solve (3)!5(15+1)(15*2+1)/6=

$$\frac { ( 3 ) ! 5 ( 15 + 1 ) ( 15 \times 2 + 1 ) } { 6 } =$$

Evaluate

$$2480$$

Solution Steps

The factorial of 3 is 6.

$$\frac{6\times 5\left(15+1\right)\left(15\times 2+1\right)}{6}$$

Multiply 6 and 5 to get 30.

$$\frac{30\left(15+1\right)\left(15\times 2+1\right)}{6}$$

Add 15 and 1 to get 16.

$$\frac{30\times 16\left(15\times 2+1\right)}{6}$$

Multiply 30 and 16 to get 480.

$$\frac{480\left(15\times 2+1\right)}{6}$$

Multiply 15 and 2 to get 30.

$$\frac{480\left(30+1\right)}{6}$$

Add 30 and 1 to get 31.

$$\frac{480\times 31}{6}$$

Multiply 480 and 31 to get 14880.

$$\frac{14880}{6}$$

Divide 14880 by 6 to get 2480.

$$2480$$

Factor

$$2^{4}\times 5\times 31$$