Solve 52145682\times62686353 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$52145682 \times 62686353$$

Evaluate

$3268822629277746$

Steps For Long Multiplication

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

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\end{array}$$

Now multiply the first number with the $1^{st}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 3. Write the result 156437046 at the end leaving 0 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\end{array}$$

Now multiply the first number with the $2^{nd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 5. Write the result 260728410 at the end leaving 1 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\end{array}$$

Now multiply the first number with the $3^{rd}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 3. Write the result 156437046 at the end leaving 2 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\phantom{\times}156437046\phantom{99}\\\end{array}$$

Now multiply the first number with the $4^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 6. Write the result 312874092 at the end leaving 3 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\phantom{\times}156437046\phantom{99}\\\phantom{\times}312874092\phantom{999}\\\end{array}$$

Now multiply the first number with the $5^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 8. Write the result 417165456 at the end leaving 4 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\phantom{\times}156437046\phantom{99}\\\phantom{\times}312874092\phantom{999}\\\phantom{\times}417165456\phantom{9999}\\\end{array}$$

Now multiply the first number with the $6^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 6. Write the result 312874092 at the end leaving 5 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\phantom{\times}156437046\phantom{99}\\\phantom{\times}312874092\phantom{999}\\\phantom{\times}417165456\phantom{9999}\\\phantom{\times}312874092\phantom{99999}\\\end{array}$$

Now multiply the first number with the $7^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 2. Write the result 104291364 at the end leaving 6 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\phantom{\times}156437046\phantom{99}\\\phantom{\times}312874092\phantom{999}\\\phantom{\times}417165456\phantom{9999}\\\phantom{\times}312874092\phantom{99999}\\\phantom{\times}104291364\phantom{999999}\\\end{array}$$

Now multiply the first number with the $8^{th}$ digit in $2^{nd}$ number to get intermediate results. That is Multiply 52145682 with 6. Write the result 312874092 at the end leaving 7 spaces to the right like this.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\phantom{\times}156437046\phantom{99}\\\phantom{\times}312874092\phantom{999}\\\phantom{\times}417165456\phantom{9999}\\\phantom{\times}312874092\phantom{99999}\\\phantom{\times}104291364\phantom{999999}\\\underline{\phantom{\times}312874092\phantom{9999999}}\\\end{array}$$

Now add the intermediate results to get final answer.

$$\begin{array}{c}\phantom{\times9}52145682\\\underline{\times\phantom{9}62686353}\\\phantom{\times}156437046\\\phantom{\times}260728410\phantom{9}\\\phantom{\times}156437046\phantom{99}\\\phantom{\times}312874092\phantom{999}\\\phantom{\times}417165456\phantom{9999}\\\phantom{\times}312874092\phantom{99999}\\\phantom{\times}104291364\phantom{999999}\\\underline{\phantom{\times}312874092\phantom{9999999}}\\\phantom{\times}329703474\end{array}$$

Factor

$2\times 3^{2}\times 8690947\times 20895451$