Solve 1345*8232

$$1345 \times 8232$$

Evaluate

$$11072040$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}1345\\\underline{\times\phantom{9999}8232}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1345 with 2. Write the result 2690 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1345\\\underline{\times\phantom{9999}8232}\\\phantom{\times9999}2690\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1345 with 3. Write the result 4035 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1345\\\underline{\times\phantom{9999}8232}\\\phantom{\times9999}2690\\\phantom{\times999}4035\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1345 with 2. Write the result 2690 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1345\\\underline{\times\phantom{9999}8232}\\\phantom{\times9999}2690\\\phantom{\times999}4035\phantom{9}\\\phantom{\times99}2690\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1345 with 8. Write the result 10760 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1345\\\underline{\times\phantom{9999}8232}\\\phantom{\times9999}2690\\\phantom{\times999}4035\phantom{9}\\\phantom{\times99}2690\phantom{99}\\\underline{\phantom{\times}10760\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}1345\\\underline{\times\phantom{9999}8232}\\\phantom{\times9999}2690\\\phantom{\times999}4035\phantom{9}\\\phantom{\times99}2690\phantom{99}\\\underline{\phantom{\times}10760\phantom{999}}\\\phantom{\times}11072040\end{array}$$

Factor

$$2^{3}\times 3\times 5\times 7^{3}\times 269$$