Solve 2048*1638

$$2048 \times 1638$$

Evaluate

$$3354624$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2048\\\underline{\times\phantom{999}1638}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2048 with 8. Write the result 16384 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2048\\\underline{\times\phantom{999}1638}\\\phantom{\times99}16384\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2048 with 3. Write the result 6144 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2048\\\underline{\times\phantom{999}1638}\\\phantom{\times99}16384\\\phantom{\times99}6144\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2048 with 6. Write the result 12288 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2048\\\underline{\times\phantom{999}1638}\\\phantom{\times99}16384\\\phantom{\times99}6144\phantom{9}\\\phantom{\times}12288\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2048 with 1. Write the result 2048 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2048\\\underline{\times\phantom{999}1638}\\\phantom{\times99}16384\\\phantom{\times99}6144\phantom{9}\\\phantom{\times}12288\phantom{99}\\\underline{\phantom{\times}2048\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2048\\\underline{\times\phantom{999}1638}\\\phantom{\times99}16384\\\phantom{\times99}6144\phantom{9}\\\phantom{\times}12288\phantom{99}\\\underline{\phantom{\times}2048\phantom{999}}\\\phantom{\times}3354624\end{array}$$

Factor

$$2^{12}\times 3^{2}\times 7\times 13$$