Solve 10*9*8*7*6*5div120-8*7*6*5div24

$$10 \times 9 \times 8 \times 7 \times 6 \times 5 \div 120-8 \times 7 \times 6 \times 5 \div 24$$

Evaluate

$$1190$$

Solution Steps

Multiply 10 and 9 to get 90.

$$\frac{90\times 8\times 7\times 6\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiply 90 and 8 to get 720.

$$\frac{720\times 7\times 6\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiply 720 and 7 to get 5040.

$$\frac{5040\times 6\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiply 5040 and 6 to get 30240.

$$\frac{30240\times 5}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Multiply 30240 and 5 to get 151200.

$$\frac{151200}{120}-\frac{8\times 7\times 6\times 5}{24}$$

Divide 151200 by 120 to get 1260.

$$1260-\frac{8\times 7\times 6\times 5}{24}$$

Multiply 8 and 7 to get 56.

$$1260-\frac{56\times 6\times 5}{24}$$

Multiply 56 and 6 to get 336.

$$1260-\frac{336\times 5}{24}$$

Multiply 336 and 5 to get 1680.

$$1260-\frac{1680}{24}$$

Divide 1680 by 24 to get 70.

$$1260-70$$

Subtract 70 from 1260 to get 1190.

$$1190$$

Factor

$$2\times 5\times 7\times 17$$