Solve 575*5825

$$575 \times 5825$$

Evaluate

$$3349375$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}575\\\underline{\times\phantom{999}5825}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 575 with 5. Write the result 2875 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}575\\\underline{\times\phantom{999}5825}\\\phantom{\times999}2875\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 575 with 2. Write the result 1150 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}575\\\underline{\times\phantom{999}5825}\\\phantom{\times999}2875\\\phantom{\times99}1150\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 575 with 8. Write the result 4600 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}575\\\underline{\times\phantom{999}5825}\\\phantom{\times999}2875\\\phantom{\times99}1150\phantom{9}\\\phantom{\times9}4600\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 575 with 5. Write the result 2875 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}575\\\underline{\times\phantom{999}5825}\\\phantom{\times999}2875\\\phantom{\times99}1150\phantom{9}\\\phantom{\times9}4600\phantom{99}\\\underline{\phantom{\times}2875\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}575\\\underline{\times\phantom{999}5825}\\\phantom{\times999}2875\\\phantom{\times99}1150\phantom{9}\\\phantom{\times9}4600\phantom{99}\\\underline{\phantom{\times}2875\phantom{999}}\\\phantom{\times}3349375\end{array}$$

Factor

$$5^{4}\times 23\times 233$$