An integer is a number that has no fractional part or decimal part. Integers include all counting numbers (1, 2, 3, 4, ...), zero (0) and negative of counting numbers (-1, -2, -3, -4, ...).

A set of integers in denoted by $\mathbb{Z}$, such that $\mathbb{Z}$ = {......, -3, -2, -1, 0, 1, 2, 3, ...…}There are few important points which are to be kept in mind while dividing integers.

Sign Analysis:

- $\frac{\text{Positive}}{\text{Positive}}$ = Positive
- $\frac{\text{Negative}}{\text{Negative}}$ = Positive
- $\frac{\text{Positive}}{\text{Negative}}$ = Negative
- $\frac{\text{Negative}}{\text{Positive}}$ = Negative

- If an integer is divided by 0, then the answer is not defined or indeterminate.
**For example:**$\frac{4}{0}$ = not defined. - If 0 is divided by integer, then answer will be 0.
**For example:**$\frac{0}{7}$ = 0. - If an integer is divided by 1, then the answer will be that integer itself.
**For example:**$\frac{22}{1}$ = 22. - If an integer is divided by itself, then the answer will be 1.
**For example:**$\frac{34}{34}$ = 1. - When an integer is fully divided by another i.e. it leaves no remainder, the quotient will also be an integer.
- When an integer is not fully divided by another i.e., there is a remainder left, then answer should be written in either fractional or decimal form. This will not be categorized as an integer.

Let us consider few examples to understand this concept

**Dividing Integers Examples:**

**Example 1:**

Divide 50 by -5.

Solution:

$\frac{50}{-5}$

Here, the answer will be negative because the numbers have opposite signs.

On dividing 50 by 5, we get 10.

Therefore, $\frac{50}{-5}$ = -1.

**Example 2: **

Divide -64 by -3.

$\frac{-64}{-3}$

Here, the answer will be positive because both have same signs.

On dividing 64 by 3, we get 21.33

We can write answer in the form of fraction, i.e. $21$$\frac{1}{3}$

Related Calculators | |

Dividing Integers Calculator | Adding Integer |

Calculating Integers | Multiplying Integer |