Solve 111,111,111*111,111,111

$$111,111,111 \times 111,111,111$$

Evaluate

$$12345678987654321$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\phantom{\times}111111111\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\phantom{\times}111111111\phantom{999}\\\phantom{\times}111111111\phantom{9999}\\\end{array}$$

Now multiply the first number with the 6^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 5 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\phantom{\times}111111111\phantom{999}\\\phantom{\times}111111111\phantom{9999}\\\phantom{\times}111111111\phantom{99999}\\\end{array}$$

Now multiply the first number with the 7^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 6 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\phantom{\times}111111111\phantom{999}\\\phantom{\times}111111111\phantom{9999}\\\phantom{\times}111111111\phantom{99999}\\\phantom{\times}111111111\phantom{999999}\\\end{array}$$

Now multiply the first number with the 8^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 7 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\phantom{\times}111111111\phantom{999}\\\phantom{\times}111111111\phantom{9999}\\\phantom{\times}111111111\phantom{99999}\\\phantom{\times}111111111\phantom{999999}\\\phantom{\times}111111111\phantom{9999999}\\\end{array}$$

Now multiply the first number with the 9^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 111111111 with 1. Write the result 111111111 at the end leaving 8 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\phantom{\times}111111111\phantom{999}\\\phantom{\times}111111111\phantom{9999}\\\phantom{\times}111111111\phantom{99999}\\\phantom{\times}111111111\phantom{999999}\\\phantom{\times}111111111\phantom{9999999}\\\underline{\phantom{\times}111111111\phantom{99999999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9}111111111\\\underline{\times\phantom{9}111111111}\\\phantom{\times9}111111111\\\phantom{\times}111111111\phantom{9}\\\phantom{\times}111111111\phantom{99}\\\phantom{\times}111111111\phantom{999}\\\phantom{\times}111111111\phantom{9999}\\\phantom{\times}111111111\phantom{99999}\\\phantom{\times}111111111\phantom{999999}\\\phantom{\times}111111111\phantom{9999999}\\\underline{\phantom{\times}111111111\phantom{99999999}}\\\phantom{\times}1653732529\end{array}$$

Factor

$$3^{4}\times 37^{2}\times 333667^{2}$$