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

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

Evaluate

$$43589145600$$

Solution Steps

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 3 to get 6.

$$6\times 4\times 5\times 6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 6 and 4 to get 24.

$$24\times 5\times 6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 24 and 5 to get 120.

$$120\times 6\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 120 and 6 to get 720.

$$720\times 7\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 720 and 7 to get 5040.

$$5040\times 7\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 5040 and 7 to get 35280.

$$35280\times 8\times 9\times 10\times 11\times 12\times 13$$

Multiply 35280 and 8 to get 282240.

$$282240\times 9\times 10\times 11\times 12\times 13$$

Multiply 282240 and 9 to get 2540160.

$$2540160\times 10\times 11\times 12\times 13$$

Multiply 2540160 and 10 to get 25401600.

$$25401600\times 11\times 12\times 13$$

Multiply 25401600 and 11 to get 279417600.

$$279417600\times 12\times 13$$

Multiply 279417600 and 12 to get 3353011200.

$$3353011200\times 13$$

Multiply 3353011200 and 13 to get 43589145600.

$$43589145600$$

Factor

$$2^{10}\times 3^{5}\times 5^{2}\times 7^{2}\times 11\times 13$$