Solve 5825*25896

$$5825 \times 25896$$

Evaluate

$$150844200$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99999}5825\\\underline{\times\phantom{9999}25896}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 5825 with 6. Write the result 34950 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}5825\\\underline{\times\phantom{9999}25896}\\\phantom{\times9999}34950\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 5825 with 9. Write the result 52425 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}5825\\\underline{\times\phantom{9999}25896}\\\phantom{\times9999}34950\\\phantom{\times999}52425\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 5825 with 8. Write the result 46600 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}5825\\\underline{\times\phantom{9999}25896}\\\phantom{\times9999}34950\\\phantom{\times999}52425\phantom{9}\\\phantom{\times99}46600\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 5825 with 5. Write the result 29125 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}5825\\\underline{\times\phantom{9999}25896}\\\phantom{\times9999}34950\\\phantom{\times999}52425\phantom{9}\\\phantom{\times99}46600\phantom{99}\\\phantom{\times9}29125\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 5825 with 2. Write the result 11650 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99999}5825\\\underline{\times\phantom{9999}25896}\\\phantom{\times9999}34950\\\phantom{\times999}52425\phantom{9}\\\phantom{\times99}46600\phantom{99}\\\phantom{\times9}29125\phantom{999}\\\underline{\phantom{\times}11650\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99999}5825\\\underline{\times\phantom{9999}25896}\\\phantom{\times9999}34950\\\phantom{\times999}52425\phantom{9}\\\phantom{\times99}46600\phantom{99}\\\phantom{\times9}29125\phantom{999}\\\underline{\phantom{\times}11650\phantom{9999}}\\\phantom{\times}150844200\end{array}$$

Factor

$$2^{3}\times 3\times 5^{2}\times 13\times 83\times 233$$