Solve 1025*10405

$$1025 \cdot 10405$$

Evaluate

$$10665125$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}1025\\\underline{\times\phantom{999}10405}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1025 with 5. Write the result 5125 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1025\\\underline{\times\phantom{999}10405}\\\phantom{\times9999}5125\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1025 with 0. Write the result 0 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1025\\\underline{\times\phantom{999}10405}\\\phantom{\times9999}5125\\\phantom{\times9999999}0\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1025 with 4. Write the result 4100 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1025\\\underline{\times\phantom{999}10405}\\\phantom{\times9999}5125\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times99}4100\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1025 with 0. Write the result 0 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1025\\\underline{\times\phantom{999}10405}\\\phantom{\times9999}5125\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times99}4100\phantom{99}\\\phantom{\times99999}0\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1025 with 1. Write the result 1025 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1025\\\underline{\times\phantom{999}10405}\\\phantom{\times9999}5125\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times99}4100\phantom{99}\\\phantom{\times99999}0\phantom{999}\\\underline{\phantom{\times}1025\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}1025\\\underline{\times\phantom{999}10405}\\\phantom{\times9999}5125\\\phantom{\times9999999}0\phantom{9}\\\phantom{\times99}4100\phantom{99}\\\phantom{\times99999}0\phantom{999}\\\underline{\phantom{\times}1025\phantom{9999}}\\\phantom{\times}10665125\end{array}$$

Factor

$$5^{3}\times 41\times 2081$$