Solve 32768*256

$$32768 \times 256$$

Evaluate

$$8388608$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}32768\\\underline{\times\phantom{9999}256}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 32768 with 6. Write the result 196608 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}32768\\\underline{\times\phantom{9999}256}\\\phantom{\times9}196608\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 32768 with 5. Write the result 163840 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}32768\\\underline{\times\phantom{9999}256}\\\phantom{\times9}196608\\\phantom{\times}163840\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 32768 with 2. Write the result 65536 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}32768\\\underline{\times\phantom{9999}256}\\\phantom{\times9}196608\\\phantom{\times}163840\phantom{9}\\\underline{\phantom{\times}65536\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}32768\\\underline{\times\phantom{9999}256}\\\phantom{\times9}196608\\\phantom{\times}163840\phantom{9}\\\underline{\phantom{\times}65536\phantom{99}}\\\phantom{\times}8388608\end{array}$$

Factor

$$2^{23}$$