Solve 4736*5182

$$4736 \times 5182$$

Evaluate

$$24541952$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}4736\\\underline{\times\phantom{9999}5182}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 4736 with 2. Write the result 9472 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}4736\\\underline{\times\phantom{9999}5182}\\\phantom{\times9999}9472\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 4736 with 8. Write the result 37888 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}4736\\\underline{\times\phantom{9999}5182}\\\phantom{\times9999}9472\\\phantom{\times99}37888\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 4736 with 1. Write the result 4736 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}4736\\\underline{\times\phantom{9999}5182}\\\phantom{\times9999}9472\\\phantom{\times99}37888\phantom{9}\\\phantom{\times99}4736\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 4736 with 5. Write the result 23680 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}4736\\\underline{\times\phantom{9999}5182}\\\phantom{\times9999}9472\\\phantom{\times99}37888\phantom{9}\\\phantom{\times99}4736\phantom{99}\\\underline{\phantom{\times}23680\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}4736\\\underline{\times\phantom{9999}5182}\\\phantom{\times9999}9472\\\phantom{\times99}37888\phantom{9}\\\phantom{\times99}4736\phantom{99}\\\underline{\phantom{\times}23680\phantom{999}}\\\phantom{\times}24541952\end{array}$$

Factor

$$2^{8}\times 37\times 2591$$