Solve 1048576*1024

$$1048576 \times 1024$$

Evaluate

$$1073741824$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}1048576\\\underline{\times\phantom{999999}1024}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1048576 with 4. Write the result 4194304 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1048576\\\underline{\times\phantom{999999}1024}\\\phantom{\times999}4194304\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1048576 with 2. Write the result 2097152 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1048576\\\underline{\times\phantom{999999}1024}\\\phantom{\times999}4194304\\\phantom{\times99}2097152\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1048576 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1048576\\\underline{\times\phantom{999999}1024}\\\phantom{\times999}4194304\\\phantom{\times99}2097152\phantom{9}\\\phantom{\times99999999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1048576 with 1. Write the result 1048576 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1048576\\\underline{\times\phantom{999999}1024}\\\phantom{\times999}4194304\\\phantom{\times99}2097152\phantom{9}\\\phantom{\times99999999}0\phantom{99}\\\underline{\phantom{\times}1048576\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}1048576\\\underline{\times\phantom{999999}1024}\\\phantom{\times999}4194304\\\phantom{\times99}2097152\phantom{9}\\\phantom{\times99999999}0\phantom{99}\\\underline{\phantom{\times}1048576\phantom{999}}\\\phantom{\times}1073741824\end{array}$$

Factor

$$2^{30}$$