Solve 1256*458

$$1256 \times 458$$

Evaluate

$$575248$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times99}1256\\\underline{\times\phantom{999}458}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1256 with 8. Write the result 10048 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1256\\\underline{\times\phantom{999}458}\\\phantom{\times9}10048\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1256 with 5. Write the result 6280 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1256\\\underline{\times\phantom{999}458}\\\phantom{\times9}10048\\\phantom{\times9}6280\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1256 with 4. Write the result 5024 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times99}1256\\\underline{\times\phantom{999}458}\\\phantom{\times9}10048\\\phantom{\times9}6280\phantom{9}\\\underline{\phantom{\times}5024\phantom{99}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times99}1256\\\underline{\times\phantom{999}458}\\\phantom{\times9}10048\\\phantom{\times9}6280\phantom{9}\\\underline{\phantom{\times}5024\phantom{99}}\\\phantom{\times}575248\end{array}$$

Factor

$$2^{4}\times 157\times 229$$