Solve (11*10*9*8*7-9*8*7*6*5)div120

$$(11 \times 10 \times 9 \times 8 \times 7-9 \times 8 \times 7 \times 6 \times 5) \div 120$$

Evaluate

$$336$$

Solution Steps

Multiply 11 and 10 to get 110.

$$\frac{110\times 9\times 8\times 7-9\times 8\times 7\times 6\times 5}{120}$$

Multiply 110 and 9 to get 990.

$$\frac{990\times 8\times 7-9\times 8\times 7\times 6\times 5}{120}$$

Multiply 990 and 8 to get 7920.

$$\frac{7920\times 7-9\times 8\times 7\times 6\times 5}{120}$$

Multiply 7920 and 7 to get 55440.

$$\frac{55440-9\times 8\times 7\times 6\times 5}{120}$$

Multiply 9 and 8 to get 72.

$$\frac{55440-72\times 7\times 6\times 5}{120}$$

Multiply 72 and 7 to get 504.

$$\frac{55440-504\times 6\times 5}{120}$$

Multiply 504 and 6 to get 3024.

$$\frac{55440-3024\times 5}{120}$$

Multiply 3024 and 5 to get 15120.

$$\frac{55440-15120}{120}$$

Subtract 15120 from 55440 to get 40320.

$$\frac{40320}{120}$$

Divide 40320 by 120 to get 336.

$$336$$

Factor

$$2^{4}\times 3\times 7$$