Solve 6*5*4*3*2*5*4*3/3*2*1*1560

$$6 \times 5 \times 4 \times 3 \times 2 \times \frac { 5 \times 4 \times 3 } { 3 \times 2 \times 1 } \times 1560$$

Evaluate

$$11232000$$

Solution Steps

Multiply 6 and 5 to get 30.

$$30\times 4\times 3\times 2\times \frac{5\times 4\times 3}{3\times 2\times 1}\times 1560$$

Multiply 30 and 4 to get 120.

$$120\times 3\times 2\times \frac{5\times 4\times 3}{3\times 2\times 1}\times 1560$$

Multiply 120 and 3 to get 360.

$$360\times 2\times \frac{5\times 4\times 3}{3\times 2\times 1}\times 1560$$

Multiply 360 and 2 to get 720.

$$720\times \frac{5\times 4\times 3}{3\times 2\times 1}\times 1560$$

Cancel out 2\times 3 in both numerator and denominator.

$$720\times 2\times 5\times 1560$$

Multiply 2 and 5 to get 10.

$$720\times 10\times 1560$$

Multiply 720 and 10 to get 7200.

$$7200\times 1560$$

Multiply 7200 and 1560 to get 11232000.

$$11232000$$

Factor

$$2^{8}\times 3^{3}\times 5^{3}\times 13$$