Solve 2017*2018

$$2017 \times 2018$$

Evaluate

$$4070306$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}2018}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2017 with 8. Write the result 16136 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}2018}\\\phantom{\times99}16136\\\end{array}$$

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

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}2018}\\\phantom{\times99}16136\\\phantom{\times99}2017\phantom{9}\\\end{array}$$

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

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}2018}\\\phantom{\times99}16136\\\phantom{\times99}2017\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2017 with 2. Write the result 4034 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}2018}\\\phantom{\times99}16136\\\phantom{\times99}2017\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4034\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2017\\\underline{\times\phantom{999}2018}\\\phantom{\times99}16136\\\phantom{\times99}2017\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4034\phantom{999}}\\\phantom{\times}4070306\end{array}$$

Factor

$$2\times 1009\times 2017$$