Solve (1+2+3+4+5+6+7+8+9)*10+(1+2+3+4+5+6+7+8+9)*90+100

$$(1+2+3+4+5+6+7+8+9) \times 10+(1+2+3+4+5+6+7+8+9) \times 90+100$$

Evaluate

$$4600$$

Solution Steps

Add 1 and 2 to get 3.

$$\left(3+3+4+5+6+7+8+9\right)\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 3 and 3 to get 6.

$$\left(6+4+5+6+7+8+9\right)\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 6 and 4 to get 10.

$$\left(10+5+6+7+8+9\right)\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 10 and 5 to get 15.

$$\left(15+6+7+8+9\right)\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 15 and 6 to get 21.

$$\left(21+7+8+9\right)\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 21 and 7 to get 28.

$$\left(28+8+9\right)\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 28 and 8 to get 36.

$$\left(36+9\right)\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 36 and 9 to get 45.

$$45\times 10+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Multiply 45 and 10 to get 450.

$$450+\left(1+2+3+4+5+6+7+8+9\right)\times 90+100$$

Add 1 and 2 to get 3.

$$450+\left(3+3+4+5+6+7+8+9\right)\times 90+100$$

Add 3 and 3 to get 6.

$$450+\left(6+4+5+6+7+8+9\right)\times 90+100$$

Add 6 and 4 to get 10.

$$450+\left(10+5+6+7+8+9\right)\times 90+100$$

Add 10 and 5 to get 15.

$$450+\left(15+6+7+8+9\right)\times 90+100$$

Add 15 and 6 to get 21.

$$450+\left(21+7+8+9\right)\times 90+100$$

Add 21 and 7 to get 28.

$$450+\left(28+8+9\right)\times 90+100$$

Add 28 and 8 to get 36.

$$450+\left(36+9\right)\times 90+100$$

Add 36 and 9 to get 45.

$$450+45\times 90+100$$

Multiply 45 and 90 to get 4050.

$$450+4050+100$$

Add 450 and 4050 to get 4500.

$$4500+100$$

Add 4500 and 100 to get 4600.

$$4600$$

Factor

$$2^{3}\times 5^{2}\times 23$$