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

$$7 \times 8 \times 9 \times 10 \times 11 \times 12 \times 13 ! =$$

Evaluate

$$4142712397824000$$

Solution Steps

Multiply 7 and 8 to get 56.

$$56\times 9\times 10\times 11\times 12\times 13!$$

Multiply 56 and 9 to get 504.

$$504\times 10\times 11\times 12\times 13!$$

Multiply 504 and 10 to get 5040.

$$5040\times 11\times 12\times 13!$$

Multiply 5040 and 11 to get 55440.

$$55440\times 12\times 13!$$

Multiply 55440 and 12 to get 665280.

$$665280\times 13!$$

The factorial of 13 is 6227020800.

$$665280\times 6227020800$$

Multiply 665280 and 6227020800 to get 4142712397824000.

$$4142712397824000$$

Factor

$$2^{16}\times 3^{8}\times 5^{3}\times 7^{2}\times 11^{2}\times 13$$