Solve 496*1024=

$$496 \times 1024=$$

Evaluate

$$507904$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{99}1024}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 496 with 4. Write the result 1984 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{99}1024}\\\phantom{\times99}1984\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 496 with 2. Write the result 992 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{99}1024}\\\phantom{\times99}1984\\\phantom{\times99}992\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 496 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{99}1024}\\\phantom{\times99}1984\\\phantom{\times99}992\phantom{9}\\\phantom{\times9999}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 496 with 1. Write the result 496 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{99}1024}\\\phantom{\times99}1984\\\phantom{\times99}992\phantom{9}\\\phantom{\times9999}0\phantom{99}\\\underline{\phantom{\times}496\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{99}1024}\\\phantom{\times99}1984\\\phantom{\times99}992\phantom{9}\\\phantom{\times9999}0\phantom{99}\\\underline{\phantom{\times}496\phantom{999}}\\\phantom{\times}507904\end{array}$$

Factor

$$2^{14}\times 31$$