Solve 1829*32808

$$1829 \times 32808$$

Evaluate

$$60005832$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}1829\\\underline{\times\phantom{999}32808}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1829 with 8. Write the result 14632 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1829\\\underline{\times\phantom{999}32808}\\\phantom{\times999}14632\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1829 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1829\\\underline{\times\phantom{999}32808}\\\phantom{\times999}14632\\\phantom{\times9999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1829 with 8. Write the result 14632 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1829\\\underline{\times\phantom{999}32808}\\\phantom{\times999}14632\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times9}14632\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1829 with 2. Write the result 3658 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1829\\\underline{\times\phantom{999}32808}\\\phantom{\times999}14632\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times9}14632\phantom{99}\\\phantom{\times9}3658\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1829 with 3. Write the result 5487 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1829\\\underline{\times\phantom{999}32808}\\\phantom{\times999}14632\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times9}14632\phantom{99}\\\phantom{\times9}3658\phantom{999}\\\underline{\phantom{\times}5487\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}1829\\\underline{\times\phantom{999}32808}\\\phantom{\times999}14632\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times9}14632\phantom{99}\\\phantom{\times9}3658\phantom{999}\\\underline{\phantom{\times}5487\phantom{9999}}\\\phantom{\times}60005832\end{array}$$

Factor

$$2^{3}\times 3\times 31\times 59\times 1367$$