Solve 7*5*6*4*3*2-(2*6*5*4*3*2-5*4*2*3)

$$7 \times 5 \times 6 \times 4 \times 3 \times 2-(2 \times 6 \times 5 \times 4 \times 3 \times 2-5 \times 4 \times 2 \times 3)$$

Evaluate

$$3720$$

Solution Steps

Multiply 7 and 5 to get 35.

$$35\times 6\times 4\times 3\times 2-\left(2\times 6\times 5\times 4\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 35 and 6 to get 210.

$$210\times 4\times 3\times 2-\left(2\times 6\times 5\times 4\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 210 and 4 to get 840.

$$840\times 3\times 2-\left(2\times 6\times 5\times 4\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 840 and 3 to get 2520.

$$2520\times 2-\left(2\times 6\times 5\times 4\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 2520 and 2 to get 5040.

$$5040-\left(2\times 6\times 5\times 4\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 2 and 6 to get 12.

$$5040-\left(12\times 5\times 4\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 12 and 5 to get 60.

$$5040-\left(60\times 4\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 60 and 4 to get 240.

$$5040-\left(240\times 3\times 2-5\times 4\times 2\times 3\right)$$

Multiply 240 and 3 to get 720.

$$5040-\left(720\times 2-5\times 4\times 2\times 3\right)$$

Multiply 720 and 2 to get 1440.

$$5040-\left(1440-5\times 4\times 2\times 3\right)$$

Multiply 5 and 4 to get 20.

$$5040-\left(1440-20\times 2\times 3\right)$$

Multiply 20 and 2 to get 40.

$$5040-\left(1440-40\times 3\right)$$

Multiply 40 and 3 to get 120.

$$5040-\left(1440-120\right)$$

Subtract 120 from 1440 to get 1320.

$$5040-1320$$

Subtract 1320 from 5040 to get 3720.

$$3720$$

Factor

$$2^{3}\times 3\times 5\times 31$$