Solve 1307*1307=?

$$1307 \times 1307 = ?$$

Evaluate

$$1708249$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}1307\\\underline{\times\phantom{999}1307}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1307 with 7. Write the result 9149 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1307\\\underline{\times\phantom{999}1307}\\\phantom{\times999}9149\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1307 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1307\\\underline{\times\phantom{999}1307}\\\phantom{\times999}9149\\\phantom{\times999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1307 with 3. Write the result 3921 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1307\\\underline{\times\phantom{999}1307}\\\phantom{\times999}9149\\\phantom{\times999999}0\phantom{9}\\\phantom{\times9}3921\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1307 with 1. Write the result 1307 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1307\\\underline{\times\phantom{999}1307}\\\phantom{\times999}9149\\\phantom{\times999999}0\phantom{9}\\\phantom{\times9}3921\phantom{99}\\\underline{\phantom{\times}1307\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}1307\\\underline{\times\phantom{999}1307}\\\phantom{\times999}9149\\\phantom{\times999999}0\phantom{9}\\\phantom{\times9}3921\phantom{99}\\\underline{\phantom{\times}1307\phantom{999}}\\\phantom{\times}1708249\end{array}$$

Factor

$$1307^{2}$$