Solve 1234*5678=

$$1234 \times 5678 =$$

Evaluate

$$7006652$$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times999}1234\\\underline{\times\phantom{999}5678}\\\end{array}$$

Now multiply the first number with the 1^{st} digit in 2^{nd} number to get intermediate results. That is Multiply 1234 with 8. Write the result 9872 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1234\\\underline{\times\phantom{999}5678}\\\phantom{\times999}9872\\\end{array}$$

Now multiply the first number with the 2^{nd} digit in 2^{nd} number to get intermediate results. That is Multiply 1234 with 7. Write the result 8638 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1234\\\underline{\times\phantom{999}5678}\\\phantom{\times999}9872\\\phantom{\times99}8638\phantom{9}\\\end{array}$$

Now multiply the first number with the 3^{rd} digit in 2^{nd} number to get intermediate results. That is Multiply 1234 with 6. Write the result 7404 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1234\\\underline{\times\phantom{999}5678}\\\phantom{\times999}9872\\\phantom{\times99}8638\phantom{9}\\\phantom{\times9}7404\phantom{99}\\\end{array}$$

Now multiply the first number with the 4^{th} digit in 2^{nd} number to get intermediate results. That is Multiply 1234 with 5. Write the result 6170 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times999}1234\\\underline{\times\phantom{999}5678}\\\phantom{\times999}9872\\\phantom{\times99}8638\phantom{9}\\\phantom{\times9}7404\phantom{99}\\\underline{\phantom{\times}6170\phantom{999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times999}1234\\\underline{\times\phantom{999}5678}\\\phantom{\times999}9872\\\phantom{\times99}8638\phantom{9}\\\phantom{\times9}7404\phantom{99}\\\underline{\phantom{\times}6170\phantom{999}}\\\phantom{\times}7006652\end{array}$$

Factor

$$2^{2}\times 17\times 167\times 617$$