Solve 2000*219

$$2000 \times 219$$

Evaluate

$$438000$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}2000\\\underline{\times\phantom{999}219}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2000 with 9. Write the result 18000 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}2000\\\underline{\times\phantom{999}219}\\\phantom{\times9}18000\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2000 with 1. Write the result 2000 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}2000\\\underline{\times\phantom{999}219}\\\phantom{\times9}18000\\\phantom{\times9}2000\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2000 with 2. Write the result 4000 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}2000\\\underline{\times\phantom{999}219}\\\phantom{\times9}18000\\\phantom{\times9}2000\phantom{9}\\\underline{\phantom{\times}4000\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}2000\\\underline{\times\phantom{999}219}\\\phantom{\times9}18000\\\phantom{\times9}2000\phantom{9}\\\underline{\phantom{\times}4000\phantom{99}}\\\phantom{\times}438000\end{array}$$

Factor

$$2^{4}\times 3\times 5^{3}\times 73$$