Solve 1897*1897

$$1897 \times 1897$$

Evaluate

$$3598609$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}1897\\\underline{\times\phantom{999}1897}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1897 with 7. Write the result 13279 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1897\\\underline{\times\phantom{999}1897}\\\phantom{\times99}13279\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1897 with 9. Write the result 17073 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1897\\\underline{\times\phantom{999}1897}\\\phantom{\times99}13279\\\phantom{\times9}17073\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1897 with 8. Write the result 15176 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1897\\\underline{\times\phantom{999}1897}\\\phantom{\times99}13279\\\phantom{\times9}17073\phantom{9}\\\phantom{\times}15176\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1897 with 1. Write the result 1897 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1897\\\underline{\times\phantom{999}1897}\\\phantom{\times99}13279\\\phantom{\times9}17073\phantom{9}\\\phantom{\times}15176\phantom{99}\\\underline{\phantom{\times}1897\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}1897\\\underline{\times\phantom{999}1897}\\\phantom{\times99}13279\\\phantom{\times9}17073\phantom{9}\\\phantom{\times}15176\phantom{99}\\\underline{\phantom{\times}1897\phantom{999}}\\\phantom{\times}3598609\end{array}$$

Factor

$$7^{2}\times 271^{2}$$