Solve 40*6400=

$$40 \times 6400=$$

Evaluate

$$256000$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}40\\\underline{\times\phantom{99}6400}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 40 with 0. Write the result 0 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}40\\\underline{\times\phantom{99}6400}\\\phantom{\times999999}0\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 40 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}40\\\underline{\times\phantom{99}6400}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 40 with 4. Write the result 160 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}40\\\underline{\times\phantom{99}6400}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\phantom{\times9}160\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 40 with 6. Write the result 240 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}40\\\underline{\times\phantom{99}6400}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\phantom{\times9}160\phantom{99}\\\underline{\phantom{\times}240\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}40\\\underline{\times\phantom{99}6400}\\\phantom{\times999999}0\\\phantom{\times99999}0\phantom{9}\\\phantom{\times9}160\phantom{99}\\\underline{\phantom{\times}240\phantom{999}}\\\phantom{\times}256000\end{array}$$

Factor

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