Solve 1397*1397=?

$$1397 \times 1397 = ?$$

Evaluate

$$1951609$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}1397\\\underline{\times\phantom{999}1397}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1397 with 7. Write the result 9779 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1397\\\underline{\times\phantom{999}1397}\\\phantom{\times999}9779\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1397 with 9. Write the result 12573 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1397\\\underline{\times\phantom{999}1397}\\\phantom{\times999}9779\\\phantom{\times9}12573\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1397 with 3. Write the result 4191 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1397\\\underline{\times\phantom{999}1397}\\\phantom{\times999}9779\\\phantom{\times9}12573\phantom{9}\\\phantom{\times9}4191\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1397 with 1. Write the result 1397 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1397\\\underline{\times\phantom{999}1397}\\\phantom{\times999}9779\\\phantom{\times9}12573\phantom{9}\\\phantom{\times9}4191\phantom{99}\\\underline{\phantom{\times}1397\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}1397\\\underline{\times\phantom{999}1397}\\\phantom{\times999}9779\\\phantom{\times9}12573\phantom{9}\\\phantom{\times9}4191\phantom{99}\\\underline{\phantom{\times}1397\phantom{999}}\\\phantom{\times}1951609\end{array}$$

Factor

$$11^{2}\times 127^{2}$$