Solve 500*314

$$500 \times 314$$

Evaluate

$$157000$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{999}314}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 500 with 4. Write the result 2000 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{999}314}\\\phantom{\times99}2000\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 500 with 1. Write the result 500 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{999}314}\\\phantom{\times99}2000\\\phantom{\times99}500\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 500 with 3. Write the result 1500 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{999}314}\\\phantom{\times99}2000\\\phantom{\times99}500\phantom{9}\\\underline{\phantom{\times}1500\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}500\\\underline{\times\phantom{999}314}\\\phantom{\times99}2000\\\phantom{\times99}500\phantom{9}\\\underline{\phantom{\times}1500\phantom{99}}\\\phantom{\times}157000\end{array}$$

Factor

$$2^{3}\times 5^{3}\times 157$$