Solve 369*584

$$369 \times 584$$

Evaluate

$$215496$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}369\\\underline{\times\phantom{999}584}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 369 with 4. Write the result 1476 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}369\\\underline{\times\phantom{999}584}\\\phantom{\times99}1476\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 369 with 8. Write the result 2952 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}369\\\underline{\times\phantom{999}584}\\\phantom{\times99}1476\\\phantom{\times9}2952\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 369 with 5. Write the result 1845 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}369\\\underline{\times\phantom{999}584}\\\phantom{\times99}1476\\\phantom{\times9}2952\phantom{9}\\\underline{\phantom{\times}1845\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}369\\\underline{\times\phantom{999}584}\\\phantom{\times99}1476\\\phantom{\times9}2952\phantom{9}\\\underline{\phantom{\times}1845\phantom{99}}\\\phantom{\times}215496\end{array}$$

Factor

$$2^{3}\times 3^{2}\times 41\times 73$$