Solve 1701*24576

$$1701 \times 24576$$

Evaluate

$$41803776$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}1701\\\underline{\times\phantom{999}24576}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1701 with 6. Write the result 10206 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1701\\\underline{\times\phantom{999}24576}\\\phantom{\times999}10206\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1701 with 7. Write the result 11907 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1701\\\underline{\times\phantom{999}24576}\\\phantom{\times999}10206\\\phantom{\times99}11907\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1701 with 5. Write the result 8505 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1701\\\underline{\times\phantom{999}24576}\\\phantom{\times999}10206\\\phantom{\times99}11907\phantom{9}\\\phantom{\times99}8505\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1701 with 4. Write the result 6804 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1701\\\underline{\times\phantom{999}24576}\\\phantom{\times999}10206\\\phantom{\times99}11907\phantom{9}\\\phantom{\times99}8505\phantom{99}\\\phantom{\times9}6804\phantom{999}\\\end{array}$$

Now multiply the first number with the 5^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1701 with 2. Write the result 3402 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}1701\\\underline{\times\phantom{999}24576}\\\phantom{\times999}10206\\\phantom{\times99}11907\phantom{9}\\\phantom{\times99}8505\phantom{99}\\\phantom{\times9}6804\phantom{999}\\\underline{\phantom{\times}3402\phantom{9999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}1701\\\underline{\times\phantom{999}24576}\\\phantom{\times999}10206\\\phantom{\times99}11907\phantom{9}\\\phantom{\times99}8505\phantom{99}\\\phantom{\times9}6804\phantom{999}\\\underline{\phantom{\times}3402\phantom{9999}}\\\phantom{\times}41803776\end{array}$$

Factor

$$2^{13}\times 3^{6}\times 7$$