Solve 8500*5782

$$8500 \times 5782$$

Evaluate

$$49147000$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9999}8500\\\underline{\times\phantom{9999}5782}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 8500 with 2. Write the result 17000 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}8500\\\underline{\times\phantom{9999}5782}\\\phantom{\times999}17000\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 8500 with 8. Write the result 68000 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}8500\\\underline{\times\phantom{9999}5782}\\\phantom{\times999}17000\\\phantom{\times99}68000\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 8500 with 7. Write the result 59500 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}8500\\\underline{\times\phantom{9999}5782}\\\phantom{\times999}17000\\\phantom{\times99}68000\phantom{9}\\\phantom{\times9}59500\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 8500 with 5. Write the result 42500 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9999}8500\\\underline{\times\phantom{9999}5782}\\\phantom{\times999}17000\\\phantom{\times99}68000\phantom{9}\\\phantom{\times9}59500\phantom{99}\\\underline{\phantom{\times}42500\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9999}8500\\\underline{\times\phantom{9999}5782}\\\phantom{\times999}17000\\\phantom{\times99}68000\phantom{9}\\\phantom{\times9}59500\phantom{99}\\\underline{\phantom{\times}42500\phantom{999}}\\\phantom{\times}49147000\end{array}$$

Factor

$$2^{3}\times 5^{3}\times 7^{2}\times 17\times 59$$