Solve 2*8^3+7*8^2+3*8^1+1*8^0

$$2 \times { 8 }^{ 3 } +7 \times { 8 }^{ 2 } +3 \times { 8 }^{ 1 } +1 \times { 8 }^{ 0 }$$

Evaluate

$$1497$$

Solution Steps

Calculate 8 to the power of 3 and get 512.

$$2\times 512+7\times 8^{2}+3\times 8^{1}+1\times 8^{0}$$

Multiply 2 and 512 to get 1024.

$$1024+7\times 8^{2}+3\times 8^{1}+1\times 8^{0}$$

Calculate 8 to the power of 2 and get 64.

$$1024+7\times 64+3\times 8^{1}+1\times 8^{0}$$

Multiply 7 and 64 to get 448.

$$1024+448+3\times 8^{1}+1\times 8^{0}$$

Add 1024 and 448 to get 1472.

$$1472+3\times 8^{1}+1\times 8^{0}$$

Calculate 8 to the power of 1 and get 8.

$$1472+3\times 8+1\times 8^{0}$$

Multiply 3 and 8 to get 24.

$$1472+24+1\times 8^{0}$$

Add 1472 and 24 to get 1496.

$$1496+1\times 8^{0}$$

Calculate 8 to the power of 0 and get 1.

$$1496+1\times 1$$

Multiply 1 and 1 to get 1.

$$1496+1$$

Add 1496 and 1 to get 1497.

$$1497$$

Factor

$$3\times 499$$