Solve 64001*64001

$$64001 \times 64001$$

Evaluate

$$4096128001$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times}64001\\\underline{\times\phantom{}64001}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 64001 with 1. Write the result 64001 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}64001\\\underline{\times\phantom{}64001}\\\phantom{\times}64001\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 64001 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}64001\\\underline{\times\phantom{}64001}\\\phantom{\times}64001\\\phantom{\times}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 64001 with 0. Write the result 0 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}64001\\\underline{\times\phantom{}64001}\\\phantom{\times}64001\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 64001 with 4. Write the result 256004 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}64001\\\underline{\times\phantom{}64001}\\\phantom{\times}64001\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}256004\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 64001 with 6. Write the result 384006 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times}64001\\\underline{\times\phantom{}64001}\\\phantom{\times}64001\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}256004\phantom{999}\\\underline{\phantom{\times}384006\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times}64001\\\underline{\times\phantom{}64001}\\\phantom{\times}64001\\\phantom{\times}0\phantom{9}\\\phantom{\times}0\phantom{99}\\\phantom{\times}256004\phantom{999}\\\underline{\phantom{\times}384006\phantom{9999}}\\\phantom{\times}-198839295\end{array}$$

Factor

$$7^{2}\times 41^{2}\times 223^{2}$$