Solve 12345*51321

$$12345 \times 51321$$

Evaluate

$$633557745$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}12345\\\underline{\times\phantom{9999}51321}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 12345 with 1. Write the result 12345 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}12345\\\underline{\times\phantom{9999}51321}\\\phantom{\times9999}12345\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 12345 with 2. Write the result 24690 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}12345\\\underline{\times\phantom{9999}51321}\\\phantom{\times9999}12345\\\phantom{\times999}24690\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 12345 with 3. Write the result 37035 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}12345\\\underline{\times\phantom{9999}51321}\\\phantom{\times9999}12345\\\phantom{\times999}24690\phantom{9}\\\phantom{\times99}37035\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 12345 with 1. Write the result 12345 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}12345\\\underline{\times\phantom{9999}51321}\\\phantom{\times9999}12345\\\phantom{\times999}24690\phantom{9}\\\phantom{\times99}37035\phantom{99}\\\phantom{\times9}12345\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 12345 with 5. Write the result 61725 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}12345\\\underline{\times\phantom{9999}51321}\\\phantom{\times9999}12345\\\phantom{\times999}24690\phantom{9}\\\phantom{\times99}37035\phantom{99}\\\phantom{\times9}12345\phantom{999}\\\underline{\phantom{\times}61725\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}12345\\\underline{\times\phantom{9999}51321}\\\phantom{\times9999}12345\\\phantom{\times999}24690\phantom{9}\\\phantom{\times99}37035\phantom{99}\\\phantom{\times9}12345\phantom{999}\\\underline{\phantom{\times}61725\phantom{9999}}\\\phantom{\times}633557745\end{array}$$

Factor

$$3^{2}\times 5\times 823\times 17107$$