Solve 2001*2002

$$2001 \times 2002$$

Evaluate

$$4006002$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2001\\\underline{\times\phantom{999}2002}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2001 with 2. Write the result 4002 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2001\\\underline{\times\phantom{999}2002}\\\phantom{\times999}4002\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2001 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2001\\\underline{\times\phantom{999}2002}\\\phantom{\times999}4002\\\phantom{\times999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2001 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2001\\\underline{\times\phantom{999}2002}\\\phantom{\times999}4002\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2001 with 2. Write the result 4002 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2001\\\underline{\times\phantom{999}2002}\\\phantom{\times999}4002\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4002\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2001\\\underline{\times\phantom{999}2002}\\\phantom{\times999}4002\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}4002\phantom{999}}\\\phantom{\times}4006002\end{array}$$

Factor

$$2\times 3\times 7\times 11\times 13\times 23\times 29$$