Solve 2512*314=

$$2512 \times 314=$$

Evaluate

$$788768$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}2512\\\underline{\times\phantom{999}314}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2512 with 4. Write the result 10048 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}2512\\\underline{\times\phantom{999}314}\\\phantom{\times9}10048\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2512 with 1. Write the result 2512 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}2512\\\underline{\times\phantom{999}314}\\\phantom{\times9}10048\\\phantom{\times9}2512\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2512 with 3. Write the result 7536 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}2512\\\underline{\times\phantom{999}314}\\\phantom{\times9}10048\\\phantom{\times9}2512\phantom{9}\\\underline{\phantom{\times}7536\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}2512\\\underline{\times\phantom{999}314}\\\phantom{\times9}10048\\\phantom{\times9}2512\phantom{9}\\\underline{\phantom{\times}7536\phantom{99}}\\\phantom{\times}788768\end{array}$$

Factor

$$2^{5}\times 157^{2}$$