Solve 4096*496

$$4096 \times 496$$

Evaluate

$$2031616$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}4096\\\underline{\times\phantom{9999}496}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 4096 with 6. Write the result 24576 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}4096\\\underline{\times\phantom{9999}496}\\\phantom{\times99}24576\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 4096 with 9. Write the result 36864 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}4096\\\underline{\times\phantom{9999}496}\\\phantom{\times99}24576\\\phantom{\times9}36864\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 4096 with 4. Write the result 16384 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}4096\\\underline{\times\phantom{9999}496}\\\phantom{\times99}24576\\\phantom{\times9}36864\phantom{9}\\\underline{\phantom{\times}16384\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}4096\\\underline{\times\phantom{9999}496}\\\phantom{\times99}24576\\\phantom{\times9}36864\phantom{9}\\\underline{\phantom{\times}16384\phantom{99}}\\\phantom{\times}2031616\end{array}$$

Factor

$$2^{16}\times 31$$