Solve 1/2*30*(253^2-1^2)

$$\frac{ 1 }{ 2 } \times 30 \times ( { 253 }^{ 2 } - { 1 }^{ 2 } )$$

Evaluate

$$960120$$

Solution Steps

Multiply \frac{1}{2} and 30 to get \frac{30}{2}.

$$\frac{30}{2}\left(253^{2}-1^{2}\right)$$

Divide 30 by 2 to get 15.

$$15\left(253^{2}-1^{2}\right)$$

Calculate 253 to the power of 2 and get 64009.

$$15\left(64009-1^{2}\right)$$

Calculate 1 to the power of 2 and get 1.

$$15\left(64009-1\right)$$

Subtract 1 from 64009 to get 64008.

$$15\times 64008$$

Multiply 15 and 64008 to get 960120.

$$960120$$

Factor

$$2^{3}\times 3^{3}\times 5\times 7\times 127$$