Solve 30*29*28/6*20*19/2*5*4*3*2*1

$$\frac{ 30 \times 29 \times 28 }{ 6 } \times \frac{ 20 \times 19 }{ 2 } \times 5 \times 4 \times 3 \times 2 \times 1$$

Evaluate

$$92568000$$

Solution Steps

Multiply 30 and 29 to get 870.

$$\frac{870\times 28}{6}\times \frac{20\times 19}{2}\times 5\times 4\times 3\times 2\times 1$$

Multiply 870 and 28 to get 24360.

$$\frac{24360}{6}\times \frac{20\times 19}{2}\times 5\times 4\times 3\times 2\times 1$$

Divide 24360 by 6 to get 4060.

$$4060\times \frac{20\times 19}{2}\times 5\times 4\times 3\times 2\times 1$$

Multiply 20 and 19 to get 380.

$$4060\times \frac{380}{2}\times 5\times 4\times 3\times 2\times 1$$

Divide 380 by 2 to get 190.

$$4060\times 190\times 5\times 4\times 3\times 2\times 1$$

Multiply 4060 and 190 to get 771400.

$$771400\times 5\times 4\times 3\times 2\times 1$$

Multiply 771400 and 5 to get 3857000.

$$3857000\times 4\times 3\times 2\times 1$$

Multiply 3857000 and 4 to get 15428000.

$$15428000\times 3\times 2\times 1$$

Multiply 15428000 and 3 to get 46284000.

$$46284000\times 2\times 1$$

Multiply 46284000 and 2 to get 92568000.

$$92568000\times 1$$

Multiply 92568000 and 1 to get 92568000.

$$92568000$$

Factor

$$2^{6}\times 3\times 5^{3}\times 7\times 19\times 29$$