How to solve (3564)/(27)

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve (3564)/(27) | Equatix

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Question

$$\frac{ 3564 }{ 27 }$$

Evaluate

$132$

Steps For Long Division Method

Use the $1^{st}$ digit $3$ from dividend $3564$

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)3564}\\\end{array}$$

Since $3$ is less than $27$, use the next digit $5$ from dividend $3564$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)3564}\\\end{array}$$

Use the $2^{nd}$ digit $5$ from dividend $3564$

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)3564}\\\end{array}$$

Find closest multiple of $27$ to $35$. We see that $1 \times 27 = 27$ is the nearest. Now subtract $27$ from $35$ to get reminder $8$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{27)}01\phantom{4}\\27\overline{)3564}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}8\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $3564$

$$\begin{array}{l}\phantom{27)}01\phantom{5}\\27\overline{)3564}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}86\\\end{array}$$

Find closest multiple of $27$ to $86$. We see that $3 \times 27 = 81$ is the nearest. Now subtract $81$ from $86$ to get reminder $5$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{27)}013\phantom{6}\\27\overline{)3564}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}86\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)99}5\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $3564$

$$\begin{array}{l}\phantom{27)}013\phantom{7}\\27\overline{)3564}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}86\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)99}54\\\end{array}$$

Find closest multiple of $27$ to $54$. We see that $2 \times 27 = 54$ is the nearest. Now subtract $54$ from $54$ to get reminder $0$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{27)}0132\phantom{8}\\27\overline{)3564}\\\phantom{27)}\underline{\phantom{}27\phantom{99}}\\\phantom{27)9}86\\\phantom{27)}\underline{\phantom{9}81\phantom{9}}\\\phantom{27)99}54\\\phantom{27)}\underline{\phantom{99}54\phantom{}}\\\phantom{27)9999}0\\\end{array}$$

Since $0$ is less than $27$, stop the division. The reminder is $0$. The topmost line $0132$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $132$.

$$\text{Quotient: }132$$ $$\text{Reminder: }0$$

Show Solution

Factor

$2^{2}\times 3\times 11$