Solve 7643*4976

$$7643 \times 4976$$

Evaluate

$$38031568$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}7643\\\underline{\times\phantom{9999}4976}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 7643 with 6. Write the result 45858 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}7643\\\underline{\times\phantom{9999}4976}\\\phantom{\times999}45858\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 7643 with 7. Write the result 53501 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}7643\\\underline{\times\phantom{9999}4976}\\\phantom{\times999}45858\\\phantom{\times99}53501\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 7643 with 9. Write the result 68787 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}7643\\\underline{\times\phantom{9999}4976}\\\phantom{\times999}45858\\\phantom{\times99}53501\phantom{9}\\\phantom{\times9}68787\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 7643 with 4. Write the result 30572 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}7643\\\underline{\times\phantom{9999}4976}\\\phantom{\times999}45858\\\phantom{\times99}53501\phantom{9}\\\phantom{\times9}68787\phantom{99}\\\underline{\phantom{\times}30572\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}7643\\\underline{\times\phantom{9999}4976}\\\phantom{\times999}45858\\\phantom{\times99}53501\phantom{9}\\\phantom{\times9}68787\phantom{99}\\\underline{\phantom{\times}30572\phantom{999}}\\\phantom{\times}38031568\end{array}$$

Factor

$$2^{4}\times 311\times 7643$$