Solve 4*3*2+5*4*3+6*5*4+7*6*5+8*7*6+9*8*7+10*9*8

$$4 \times 3 \times 2+5 \times 4 \times 3+6 \times 5 \times 4+7 \times 6 \times 5+8 \times 7 \times 6+9 \times 8 \times 7+10 \times 9 \times 8$$

Evaluate

$$1974$$

Solution Steps

Multiply 4 and 3 to get 12. Multiply 5 and 4 to get 20. Multiply 6 and 5 to get 30. Multiply 7 and 6 to get 42. Multiply 8 and 7 to get 56. Multiply 9 and 8 to get 72. Multiply 10 and 9 to get 90.

$$12\times 2+20\times 3+30\times 4+42\times 5+56\times 6+72\times 7+90\times 8$$

Multiply 12 and 2 to get 24.

$$24+20\times 3+30\times 4+42\times 5+56\times 6+72\times 7+90\times 8$$

Multiply 20 and 3 to get 60.

$$24+60+30\times 4+42\times 5+56\times 6+72\times 7+90\times 8$$

Add 24 and 60 to get 84.

$$84+30\times 4+42\times 5+56\times 6+72\times 7+90\times 8$$

Multiply 30 and 4 to get 120.

$$84+120+42\times 5+56\times 6+72\times 7+90\times 8$$

Add 84 and 120 to get 204.

$$204+42\times 5+56\times 6+72\times 7+90\times 8$$

Multiply 42 and 5 to get 210.

$$204+210+56\times 6+72\times 7+90\times 8$$

Add 204 and 210 to get 414.

$$414+56\times 6+72\times 7+90\times 8$$

Multiply 56 and 6 to get 336.

$$414+336+72\times 7+90\times 8$$

Add 414 and 336 to get 750.

$$750+72\times 7+90\times 8$$

Multiply 72 and 7 to get 504.

$$750+504+90\times 8$$

Add 750 and 504 to get 1254.

$$1254+90\times 8$$

Multiply 90 and 8 to get 720.

$$1254+720$$

Add 1254 and 720 to get 1974.

$$1974$$

Factor

$$2\times 3\times 7\times 47$$