Solve 1995*2005

$$1995 \times 2005$$

Evaluate

$$3999975$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}1995\\\underline{\times\phantom{999}2005}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1995 with 5. Write the result 9975 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1995\\\underline{\times\phantom{999}2005}\\\phantom{\times999}9975\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1995 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1995\\\underline{\times\phantom{999}2005}\\\phantom{\times999}9975\\\phantom{\times999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1995 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1995\\\underline{\times\phantom{999}2005}\\\phantom{\times999}9975\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1995 with 2. Write the result 3990 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1995\\\underline{\times\phantom{999}2005}\\\phantom{\times999}9975\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}3990\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}1995\\\underline{\times\phantom{999}2005}\\\phantom{\times999}9975\\\phantom{\times999999}0\phantom{9}\\\phantom{\times99999}0\phantom{99}\\\underline{\phantom{\times}3990\phantom{999}}\\\phantom{\times}3999975\end{array}$$

Factor

$$3\times 5^{2}\times 7\times 19\times 401$$