Solve 25*78166

$$25 \times 78166$$

Evaluate

$$1954150$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99999}25\\\underline{\times\phantom{99}78166}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 25 with 6. Write the result 150 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}25\\\underline{\times\phantom{99}78166}\\\phantom{\times9999}150\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 25 with 6. Write the result 150 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}25\\\underline{\times\phantom{99}78166}\\\phantom{\times9999}150\\\phantom{\times999}150\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 25 with 1. Write the result 25 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}25\\\underline{\times\phantom{99}78166}\\\phantom{\times9999}150\\\phantom{\times999}150\phantom{9}\\\phantom{\times999}25\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 25 with 8. Write the result 200 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}25\\\underline{\times\phantom{99}78166}\\\phantom{\times9999}150\\\phantom{\times999}150\phantom{9}\\\phantom{\times999}25\phantom{99}\\\phantom{\times9}200\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 25 with 7. Write the result 175 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}25\\\underline{\times\phantom{99}78166}\\\phantom{\times9999}150\\\phantom{\times999}150\phantom{9}\\\phantom{\times999}25\phantom{99}\\\phantom{\times9}200\phantom{999}\\\underline{\phantom{\times}175\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99999}25\\\underline{\times\phantom{99}78166}\\\phantom{\times9999}150\\\phantom{\times999}150\phantom{9}\\\phantom{\times999}25\phantom{99}\\\phantom{\times9}200\phantom{999}\\\underline{\phantom{\times}175\phantom{9999}}\\\phantom{\times}1954150\end{array}$$

Factor

$$2\times 5^{2}\times 11^{2}\times 17\times 19$$