Solve 24(3+16*5+2(4+3-4+5*8-(2+5*5)))=

$$24 ( 3 + 16 \times 5 + 2 ( 4 + 3 - 4 + 5 \times 8 - ( 2 + 5 \times 5 ) ) ) =$$

Evaluate

$$2760$$

Solution Steps

Multiply 16 and 5 to get 80.

$$24\left(3+80+2\left(4+3-4+5\times 8-\left(2+5\times 5\right)\right)\right)$$

Add 3 and 80 to get 83.

$$24\left(83+2\left(4+3-4+5\times 8-\left(2+5\times 5\right)\right)\right)$$

Add 4 and 3 to get 7.

$$24\left(83+2\left(7-4+5\times 8-\left(2+5\times 5\right)\right)\right)$$

Subtract 4 from 7 to get 3.

$$24\left(83+2\left(3+5\times 8-\left(2+5\times 5\right)\right)\right)$$

Multiply 5 and 8 to get 40.

$$24\left(83+2\left(3+40-\left(2+5\times 5\right)\right)\right)$$

Add 3 and 40 to get 43.

$$24\left(83+2\left(43-\left(2+5\times 5\right)\right)\right)$$

Multiply 5 and 5 to get 25.

$$24\left(83+2\left(43-\left(2+25\right)\right)\right)$$

Add 2 and 25 to get 27.

$$24\left(83+2\left(43-27\right)\right)$$

Subtract 27 from 43 to get 16.

$$24\left(83+2\times 16\right)$$

Multiply 2 and 16 to get 32.

$$24\left(83+32\right)$$

Add 83 and 32 to get 115.

$$24\times 115$$

Multiply 24 and 115 to get 2760.

$$2760$$

Factor

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