Solve 2009*2009

$$2009 \times 2009$$

Evaluate

$$4036081$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2009\\\underline{\times\phantom{999}2009}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2009 with 9. Write the result 18081 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2009\\\underline{\times\phantom{999}2009}\\\phantom{\times99}18081\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2009 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2009\\\underline{\times\phantom{999}2009}\\\phantom{\times99}18081\\\phantom{\times999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2009 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2009\\\underline{\times\phantom{999}2009}\\\phantom{\times99}18081\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2009 with 2. Write the result 4018 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2009\\\underline{\times\phantom{999}2009}\\\phantom{\times99}18081\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4018\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2009\\\underline{\times\phantom{999}2009}\\\phantom{\times99}18081\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4018\phantom{999}}\\\phantom{\times}4036081\end{array}$$

Factor

$$7^{4}\times 41^{2}$$