Solve (10*9*8*7*6*5*4*3+1)^2

$$( 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 + 1 ) ^ { 2 }$$

Evaluate

$$3292050988801$$

Solution Steps

Multiply 10 and 9 to get 90.

$$\left(90\times 8\times 7\times 6\times 5\times 4\times 3+1\right)^{2}$$

Multiply 90 and 8 to get 720.

$$\left(720\times 7\times 6\times 5\times 4\times 3+1\right)^{2}$$

Multiply 720 and 7 to get 5040.

$$\left(5040\times 6\times 5\times 4\times 3+1\right)^{2}$$

Multiply 5040 and 6 to get 30240.

$$\left(30240\times 5\times 4\times 3+1\right)^{2}$$

Multiply 30240 and 5 to get 151200.

$$\left(151200\times 4\times 3+1\right)^{2}$$

Multiply 151200 and 4 to get 604800.

$$\left(604800\times 3+1\right)^{2}$$

Multiply 604800 and 3 to get 1814400.

$$\left(1814400+1\right)^{2}$$

Add 1814400 and 1 to get 1814401.

$$1814401^{2}$$

Calculate 1814401 to the power of 2 and get 3292050988801.

$$3292050988801$$

Factor

$$23^{2}\times 78887^{2}$$