Solve 997*993

$$997 \times 993$$

Evaluate

$$990021$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}997\\\underline{\times\phantom{999}993}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 997 with 3. Write the result 2991 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}997\\\underline{\times\phantom{999}993}\\\phantom{\times99}2991\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 997 with 9. Write the result 8973 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}997\\\underline{\times\phantom{999}993}\\\phantom{\times99}2991\\\phantom{\times9}8973\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 997 with 9. Write the result 8973 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}997\\\underline{\times\phantom{999}993}\\\phantom{\times99}2991\\\phantom{\times9}8973\phantom{9}\\\underline{\phantom{\times}8973\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}997\\\underline{\times\phantom{999}993}\\\phantom{\times99}2991\\\phantom{\times9}8973\phantom{9}\\\underline{\phantom{\times}8973\phantom{99}}\\\phantom{\times}990021\end{array}$$

Factor

$$3\times 331\times 997$$