Solve 5476*7648

$$5476 \times 7648$$

Evaluate

$$41880448$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}5476\\\underline{\times\phantom{9999}7648}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 5476 with 8. Write the result 43808 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}5476\\\underline{\times\phantom{9999}7648}\\\phantom{\times999}43808\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 5476 with 4. Write the result 21904 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}5476\\\underline{\times\phantom{9999}7648}\\\phantom{\times999}43808\\\phantom{\times99}21904\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 5476 with 6. Write the result 32856 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}5476\\\underline{\times\phantom{9999}7648}\\\phantom{\times999}43808\\\phantom{\times99}21904\phantom{9}\\\phantom{\times9}32856\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 5476 with 7. Write the result 38332 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}5476\\\underline{\times\phantom{9999}7648}\\\phantom{\times999}43808\\\phantom{\times99}21904\phantom{9}\\\phantom{\times9}32856\phantom{99}\\\underline{\phantom{\times}38332\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}5476\\\underline{\times\phantom{9999}7648}\\\phantom{\times999}43808\\\phantom{\times99}21904\phantom{9}\\\phantom{\times9}32856\phantom{99}\\\underline{\phantom{\times}38332\phantom{999}}\\\phantom{\times}41880448\end{array}$$

Factor

$$2^{7}\times 37^{2}\times 239$$