Solve 7*8*9*10*11*12*13div39div40div42=

$$7 \times 8 \times 9 \times 10 \times 11 \times 12 \times 13 \div 39 \div 40 \div 42=$$

Evaluate

$$132$$

Solution Steps

Express \frac{\frac{\frac{7\times 8\times 9\times 10\times 11\times 12\times 13}{39}}{40}}{42} as a single fraction.

$$\frac{\frac{7\times 8\times 9\times 10\times 11\times 12\times 13}{39}}{40\times 42}$$

Multiply 7 and 8 to get 56.

$$\frac{\frac{56\times 9\times 10\times 11\times 12\times 13}{39}}{40\times 42}$$

Multiply 56 and 9 to get 504.

$$\frac{\frac{504\times 10\times 11\times 12\times 13}{39}}{40\times 42}$$

Multiply 504 and 10 to get 5040.

$$\frac{\frac{5040\times 11\times 12\times 13}{39}}{40\times 42}$$

Multiply 5040 and 11 to get 55440.

$$\frac{\frac{55440\times 12\times 13}{39}}{40\times 42}$$

Multiply 55440 and 12 to get 665280.

$$\frac{\frac{665280\times 13}{39}}{40\times 42}$$

Multiply 665280 and 13 to get 8648640.

$$\frac{\frac{8648640}{39}}{40\times 42}$$

Divide 8648640 by 39 to get 221760.

$$\frac{221760}{40\times 42}$$

Multiply 40 and 42 to get 1680.

$$\frac{221760}{1680}$$

Divide 221760 by 1680 to get 132.

$$132$$

Factor

$$2^{2}\times 3\times 11$$