Solve 14*13*12*11*10*9*8*7*6/2*1*1*1*1*1

$$\frac { 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 } { 2 \cdot 1 \cdot 1 \cdot 1 \cdot 1 \cdot 1 }$$

Evaluate

$$363242880$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 6 and 7 to get 42.

$$42\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 42 and 7 to get 294.

$$294\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 294 and 8 to get 2352.

$$2352\times 9\times 10\times 11\times 12\times 13$$

Multiply 2352 and 9 to get 21168.

$$21168\times 10\times 11\times 12\times 13$$

Multiply 21168 and 10 to get 211680.

$$211680\times 11\times 12\times 13$$

Multiply 211680 and 11 to get 2328480.

$$2328480\times 12\times 13$$

Multiply 2328480 and 12 to get 27941760.

$$27941760\times 13$$

Multiply 27941760 and 13 to get 363242880.

$$363242880$$

Factor

$$2^{7}\times 3^{4}\times 5\times 7^{2}\times 11\times 13$$