Solve {r}{2008}{*2007}

$$\left. \begin{array} { r } { 2008 } \\ { \times 2007 } \end{array} \right.$$

Evaluate

$$4030056$$

Steps For Long Multiplication

First line up the numbers vertically and match the places from the right like this.

$$\begin{array}{c}\phantom{\times999}2008\\\underline{\times\phantom{999}2007}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2008 with 7. Write the result 14056 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2008\\\underline{\times\phantom{999}2007}\\\phantom{\times99}14056\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2008 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2008\\\underline{\times\phantom{999}2007}\\\phantom{\times99}14056\\\phantom{\times999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2008 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2008\\\underline{\times\phantom{999}2007}\\\phantom{\times99}14056\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2008 with 2. Write the result 4016 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2008\\\underline{\times\phantom{999}2007}\\\phantom{\times99}14056\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4016\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2008\\\underline{\times\phantom{999}2007}\\\phantom{\times99}14056\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4016\phantom{999}}\\\phantom{\times}4030056\end{array}$$

Factor

$$2^{3}\times 3^{2}\times 223\times 251$$