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Question

$$1502 \times 309$$

Evaluate

$464118$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}1502\\\underline{\times\phantom{999}309}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 1502 with 9. Write the result 13518 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1502\\\underline{\times\phantom{999}309}\\\phantom{\times9}13518\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 1502 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1502\\\underline{\times\phantom{999}309}\\\phantom{\times9}13518\\\phantom{\times99999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 1502 with 3. Write the result 4506 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1502\\\underline{\times\phantom{999}309}\\\phantom{\times9}13518\\\phantom{\times99999}0\phantom{9}\\\underline{\phantom{\times}4506\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}1502\\\underline{\times\phantom{999}309}\\\phantom{\times9}13518\\\phantom{\times99999}0\phantom{9}\\\underline{\phantom{\times}4506\phantom{99}}\\\phantom{\times}464118\end{array}$$

Show Solution

Factor

$2\times 3\times 103\times 751$