Solve 384*384

$$384 \times 384$$

Evaluate

$$147456$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}384\\\underline{\times\phantom{999}384}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 384 with 4. Write the result 1536 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}384\\\underline{\times\phantom{999}384}\\\phantom{\times99}1536\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 384 with 8. Write the result 3072 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}384\\\underline{\times\phantom{999}384}\\\phantom{\times99}1536\\\phantom{\times9}3072\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 384 with 3. Write the result 1152 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}384\\\underline{\times\phantom{999}384}\\\phantom{\times99}1536\\\phantom{\times9}3072\phantom{9}\\\underline{\phantom{\times}1152\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}384\\\underline{\times\phantom{999}384}\\\phantom{\times99}1536\\\phantom{\times9}3072\phantom{9}\\\underline{\phantom{\times}1152\phantom{99}}\\\phantom{\times}147456\end{array}$$

Factor

$$2^{14}\times 3^{2}$$