Solve 13*12*11div10*9*8*7*6*5*4*3*2*1

$$13 \times 12 \times 11 \div 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$$

Evaluate

$$62270208$$

Solution Steps

Multiply 13 and 12 to get 156.

$$\frac{156\times 11}{10}\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1$$

Multiply 156 and 11 to get 1716.

$$\frac{1716}{10}\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1$$

Reduce the fraction \frac{1716}{10} to lowest terms by extracting and canceling out 2.

$$\frac{858}{5}\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1$$

Express \frac{858}{5}\times 9 as a single fraction.

$$\frac{858\times 9}{5}\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1$$

Multiply 858 and 9 to get 7722.

$$\frac{7722}{5}\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1$$

Express \frac{7722}{5}\times 8 as a single fraction.

$$\frac{7722\times 8}{5}\times 7\times 6\times 5\times 4\times 3\times 2\times 1$$

Multiply 7722 and 8 to get 61776.

$$\frac{61776}{5}\times 7\times 6\times 5\times 4\times 3\times 2\times 1$$

Express \frac{61776}{5}\times 7 as a single fraction.

$$\frac{61776\times 7}{5}\times 6\times 5\times 4\times 3\times 2\times 1$$

Multiply 61776 and 7 to get 432432.

$$\frac{432432}{5}\times 6\times 5\times 4\times 3\times 2\times 1$$

Express \frac{432432}{5}\times 6 as a single fraction.

$$\frac{432432\times 6}{5}\times 5\times 4\times 3\times 2\times 1$$

Multiply 432432 and 6 to get 2594592.

$$\frac{2594592}{5}\times 5\times 4\times 3\times 2\times 1$$

Cancel out 5 and 5.

$$2594592\times 4\times 3\times 2\times 1$$

Multiply 2594592 and 4 to get 10378368.

$$10378368\times 3\times 2\times 1$$

Multiply 10378368 and 3 to get 31135104.

$$31135104\times 2\times 1$$

Multiply 31135104 and 2 to get 62270208.

$$62270208\times 1$$

Multiply 62270208 and 1 to get 62270208.

$$62270208$$

Factor

$$2^{8}\times 3^{5}\times 7\times 11\times 13$$