Solve 496*564=?

$$496 \times 564 = ?$$

Evaluate

$$279744$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{999}564}\\\end{array}$$

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.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{999}564}\\\phantom{\times99}1984\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 496 with 6. Write the result 2976 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{999}564}\\\phantom{\times99}1984\\\phantom{\times9}2976\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 496 with 5. Write the result 2480 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{999}564}\\\phantom{\times99}1984\\\phantom{\times9}2976\phantom{9}\\\underline{\phantom{\times}2480\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}496\\\underline{\times\phantom{999}564}\\\phantom{\times99}1984\\\phantom{\times9}2976\phantom{9}\\\underline{\phantom{\times}2480\phantom{99}}\\\phantom{\times}279744\end{array}$$

Factor

$$2^{6}\times 3\times 31\times 47$$