Solve 10*9*8*7*6div5div4div3div2

$$10 \times 9 \times 8 \times 7 \times 6 \div 5 \div 4 \div 3 \div 2$$

Evaluate

$$252$$

Solution Steps

Express \frac{\frac{\frac{\frac{10\times 9\times 8\times 7\times 6}{5}}{4}}{3}}{2} as a single fraction.

$$\frac{\frac{\frac{10\times 9\times 8\times 7\times 6}{5}}{4}}{3\times 2}$$

Express \frac{\frac{10\times 9\times 8\times 7\times 6}{5}}{4} as a single fraction.

$$\frac{\frac{10\times 9\times 8\times 7\times 6}{5\times 4}}{3\times 2}$$

Cancel out 2\times 2\times 5 in both numerator and denominator.

$$\frac{4\times 6\times 7\times 9}{3\times 2}$$

Multiply 4 and 6 to get 24.

$$\frac{24\times 7\times 9}{3\times 2}$$

Multiply 24 and 7 to get 168.

$$\frac{168\times 9}{3\times 2}$$

Multiply 168 and 9 to get 1512.

$$\frac{1512}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{1512}{6}$$

Divide 1512 by 6 to get 252.

$$252$$

Factor

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