Solve 14*13*12*11*10*9*8*7*6*5*4*3*2*1/3*1*2*1*2*12*1=

$$\frac { 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } { 3 \cdot 1 \cdot 2 \cdot 1 \cdot 2 \cdot 12 \cdot 1 } =$$

Evaluate

$$605404800$$

Solution Steps

Cancel out 2\times 2\times 2\times 2\times 3\times 3 in both numerator and denominator.

$$2\times 3\times 3\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiply 2 and 3 to get 6.

$$6\times 3\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiply 6 and 3 to get 18.

$$18\times 4\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiply 18 and 4 to get 72.

$$72\times 5\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiply 72 and 5 to get 360.

$$360\times 5\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiply 360 and 5 to get 1800.

$$1800\times 6\times 7\times 7\times 8\times 11\times 13$$

Multiply 1800 and 6 to get 10800.

$$10800\times 7\times 7\times 8\times 11\times 13$$

Multiply 10800 and 7 to get 75600.

$$75600\times 7\times 8\times 11\times 13$$

Multiply 75600 and 7 to get 529200.

$$529200\times 8\times 11\times 13$$

Multiply 529200 and 8 to get 4233600.

$$4233600\times 11\times 13$$

Multiply 4233600 and 11 to get 46569600.

$$46569600\times 13$$

Multiply 46569600 and 13 to get 605404800.

$$605404800$$

Factor

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