Solve {r}{2000}{*946}

$$\left. \begin{array} { r } { 2000 } \\ { \times 946 } \end{array} \right.$$

Evaluate

$$1892000$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2000\\\underline{\times\phantom{9999}946}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2000 with 6. Write the result 12000 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2000\\\underline{\times\phantom{9999}946}\\\phantom{\times99}12000\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2000 with 4. Write the result 8000 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2000\\\underline{\times\phantom{9999}946}\\\phantom{\times99}12000\\\phantom{\times99}8000\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2000 with 9. Write the result 18000 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2000\\\underline{\times\phantom{9999}946}\\\phantom{\times99}12000\\\phantom{\times99}8000\phantom{9}\\\underline{\phantom{\times}18000\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2000\\\underline{\times\phantom{9999}946}\\\phantom{\times99}12000\\\phantom{\times99}8000\phantom{9}\\\underline{\phantom{\times}18000\phantom{99}}\\\phantom{\times}1892000\end{array}$$

Factor

$$2^{5}\times 5^{3}\times 11\times 43$$