Solve 2003*2004

$$2003 \times 2004$$

Evaluate

$$4014012$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2003\\\underline{\times\phantom{999}2004}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2003 with 4. Write the result 8012 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2003\\\underline{\times\phantom{999}2004}\\\phantom{\times999}8012\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2003 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2003\\\underline{\times\phantom{999}2004}\\\phantom{\times999}8012\\\phantom{\times999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2003 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2003\\\underline{\times\phantom{999}2004}\\\phantom{\times999}8012\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2003 with 2. Write the result 4006 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2003\\\underline{\times\phantom{999}2004}\\\phantom{\times999}8012\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4006\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2003\\\underline{\times\phantom{999}2004}\\\phantom{\times999}8012\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4006\phantom{999}}\\\phantom{\times}4014012\end{array}$$

Factor

$$2^{2}\times 3\times 167\times 2003$$