How to solve (1260)/(12)

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 (1260)/(12) | Equatix

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Question

$$\frac{ 1260 }{ 12 }$$

Evaluate

$105$

Steps For Long Division Method

Use the $1^{st}$ digit $1$ from dividend $1260$

$$\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1260}\\\end{array}$$

Since $1$ is less than $12$, use the next digit $2$ from dividend $1260$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1260}\\\end{array}$$

Use the $2^{nd}$ digit $2$ from dividend $1260$

$$\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1260}\\\end{array}$$

Find closest multiple of $12$ to $12$. We see that $1 \times 12 = 12$ is the nearest. Now subtract $12$ from $12$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1260}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}0\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $1260$

$$\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1260}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}6\\\end{array}$$

Since $6$ is less than $12$, use the next digit $0$ from dividend $1260$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{12)}010\phantom{6}\\12\overline{)1260}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}6\\\end{array}$$

Use the $4^{th}$ digit $0$ from dividend $1260$

$$\begin{array}{l}\phantom{12)}010\phantom{7}\\12\overline{)1260}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}60\\\end{array}$$

Find closest multiple of $12$ to $60$. We see that $5 \times 12 = 60$ is the nearest. Now subtract $60$ from $60$ to get reminder $0$. Add $5$ to quotient.

$$\begin{array}{l}\phantom{12)}0105\phantom{8}\\12\overline{)1260}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)99}60\\\phantom{12)}\underline{\phantom{99}60\phantom{}}\\\phantom{12)9999}0\\\end{array}$$

Since $0$ is less than $12$, stop the division. The reminder is $0$. The topmost line $0105$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $105$.

$$\text{Quotient: }105$$ $$\text{Reminder: }0$$

Show Solution

Factor

$3\times 5\times 7$