Solve 1*1+2*2+3*3+4*4+5*5+6*6+7*7+8*8+9*9+10*10+11*11+12*12

$$1 \times 1+2 \times 2+3 \times 3+4 \times 4+5 \times 5+6 \times 6+7 \times 7+8 \times 8+9 \times 9+10 \times 10+11 \times 11+12 \times 12$$

Evaluate

$$650$$

Solution Steps

Multiply 1 and 1 to get 1. Multiply 2 and 2 to get 4. Multiply 3 and 3 to get 9. Multiply 4 and 4 to get 16. Multiply 5 and 5 to get 25. Multiply 6 and 6 to get 36. Multiply 7 and 7 to get 49. Multiply 8 and 8 to get 64. Multiply 9 and 9 to get 81. Multiply 10 and 10 to get 100. Multiply 11 and 11 to get 121. Multiply 12 and 12 to get 144.

$$1+4+9+16+25+36+49+64+81+100+121+144$$

Add 1 and 4 to get 5.

$$5+9+16+25+36+49+64+81+100+121+144$$

Add 5 and 9 to get 14.

$$14+16+25+36+49+64+81+100+121+144$$

Add 14 and 16 to get 30.

$$30+25+36+49+64+81+100+121+144$$

Add 30 and 25 to get 55.

$$55+36+49+64+81+100+121+144$$

Add 55 and 36 to get 91.

$$91+49+64+81+100+121+144$$

Add 91 and 49 to get 140.

$$140+64+81+100+121+144$$

Add 140 and 64 to get 204.

$$204+81+100+121+144$$

Add 204 and 81 to get 285.

$$285+100+121+144$$

Add 285 and 100 to get 385.

$$385+121+144$$

Add 385 and 121 to get 506.

$$506+144$$

Add 506 and 144 to get 650.

$$650$$

Factor

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