Solve 2589*2458=

$$2589 \times 2458=$$

Evaluate

$$6363762$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}2589\\\underline{\times\phantom{999}2458}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 2589 with 8. Write the result 20712 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2589\\\underline{\times\phantom{999}2458}\\\phantom{\times99}20712\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 2589 with 5. Write the result 12945 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2589\\\underline{\times\phantom{999}2458}\\\phantom{\times99}20712\\\phantom{\times9}12945\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 2589 with 4. Write the result 10356 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2589\\\underline{\times\phantom{999}2458}\\\phantom{\times99}20712\\\phantom{\times9}12945\phantom{9}\\\phantom{\times}10356\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 2589 with 2. Write the result 5178 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}2589\\\underline{\times\phantom{999}2458}\\\phantom{\times99}20712\\\phantom{\times9}12945\phantom{9}\\\phantom{\times}10356\phantom{99}\\\underline{\phantom{\times}5178\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}2589\\\underline{\times\phantom{999}2458}\\\phantom{\times99}20712\\\phantom{\times9}12945\phantom{9}\\\phantom{\times}10356\phantom{99}\\\underline{\phantom{\times}5178\phantom{999}}\\\phantom{\times}6363762\end{array}$$

Factor

$$2\times 3\times 863\times 1229$$