Solve 2017*1983

$$2017 \times 1983$$

Evaluate

$$3999711$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}1983}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2017 with 3. Write the result 6051 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}1983}\\\phantom{\times999}6051\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2017 with 8. Write the result 16136 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}1983}\\\phantom{\times999}6051\\\phantom{\times9}16136\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2017 with 9. Write the result 18153 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}1983}\\\phantom{\times999}6051\\\phantom{\times9}16136\phantom{9}\\\phantom{\times}18153\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2017 with 1. Write the result 2017 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}1983}\\\phantom{\times999}6051\\\phantom{\times9}16136\phantom{9}\\\phantom{\times}18153\phantom{99}\\\underline{\phantom{\times}2017\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}1983}\\\phantom{\times999}6051\\\phantom{\times9}16136\phantom{9}\\\phantom{\times}18153\phantom{99}\\\underline{\phantom{\times}2017\phantom{999}}\\\phantom{\times}3999711\end{array}$$

Factor

$$3\times 661\times 2017$$