Solve 3456*1345

$$3456 \times 1345$$

Evaluate

$$4648320$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}3456\\\underline{\times\phantom{999}1345}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 3456 with 5. Write the result 17280 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}3456\\\underline{\times\phantom{999}1345}\\\phantom{\times99}17280\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 3456 with 4. Write the result 13824 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}3456\\\underline{\times\phantom{999}1345}\\\phantom{\times99}17280\\\phantom{\times9}13824\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 3456 with 3. Write the result 10368 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}3456\\\underline{\times\phantom{999}1345}\\\phantom{\times99}17280\\\phantom{\times9}13824\phantom{9}\\\phantom{\times}10368\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 3456 with 1. Write the result 3456 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}3456\\\underline{\times\phantom{999}1345}\\\phantom{\times99}17280\\\phantom{\times9}13824\phantom{9}\\\phantom{\times}10368\phantom{99}\\\underline{\phantom{\times}3456\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}3456\\\underline{\times\phantom{999}1345}\\\phantom{\times99}17280\\\phantom{\times9}13824\phantom{9}\\\phantom{\times}10368\phantom{99}\\\underline{\phantom{\times}3456\phantom{999}}\\\phantom{\times}4648320\end{array}$$

Factor

$$2^{7}\times 3^{3}\times 5\times 269$$