Solve 14*13*12*11*10*9*8-7!

$$14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8-7 !$$

Evaluate

$$17292240$$

Solution Steps

Multiply 14 and 13 to get 182.

$$182\times 12\times 11\times 10\times 9\times 8-7!$$

Multiply 182 and 12 to get 2184.

$$2184\times 11\times 10\times 9\times 8-7!$$

Multiply 2184 and 11 to get 24024.

$$24024\times 10\times 9\times 8-7!$$

Multiply 24024 and 10 to get 240240.

$$240240\times 9\times 8-7!$$

Multiply 240240 and 9 to get 2162160.

$$2162160\times 8-7!$$

Multiply 2162160 and 8 to get 17297280.

$$17297280-7!$$

The factorial of 7 is 5040.

$$17297280-5040$$

Subtract 5040 from 17297280 to get 17292240.

$$17292240$$

Factor

$$2^{4}\times 3^{2}\times 5\times 7\times 47\times 73$$