Solve 54*162

$$54 \cdot 162$$

Evaluate

$$8748$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}54\\\underline{\times\phantom{9}162}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 54 with 2. Write the result 108 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}54\\\underline{\times\phantom{9}162}\\\phantom{\times9}108\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 54 with 6. Write the result 324 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}54\\\underline{\times\phantom{9}162}\\\phantom{\times9}108\\\phantom{\times}324\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 54 with 1. Write the result 54 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}54\\\underline{\times\phantom{9}162}\\\phantom{\times9}108\\\phantom{\times}324\phantom{9}\\\underline{\phantom{\times}54\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}54\\\underline{\times\phantom{9}162}\\\phantom{\times9}108\\\phantom{\times}324\phantom{9}\\\underline{\phantom{\times}54\phantom{99}}\\\phantom{\times}8748\end{array}$$

Factor

$$2^{2}\times 3^{7}$$