 # Divisor

In Mathematics, the four fundamental operations widely used are Addition, Subtraction, Multiplication, and Division. The role of the division is to break the number into equal parts. The four terms used in the division to divide the number into equal parts are dividend, divisor, quotient, and remainder. The number which divides another number is termed as a divisor whereas the number which is being divided is termed as a dividend. A quotient is a result which we get in the process of division whereas the remainder is the portion of the dividend that is left after the division. In this article, we will study division meaning, divisor definition, divisor formula, divisor examples, etc.

### Division Meaning

The Division is a basic Arithmetic operation used widely in Mathematics. Division breaks a number into an equal number of parts. It divides a given number of items into different groups.

For example, If you take 20 apples and place them into 4 equal-sized groups, there will be 5 apples in each group.

### Division Symbol

Although there are numerous division signs that people use, the most common division sign is    ( ÷ ) and in case of fraction backlash (/) is used, where the numerator is written on the top and the denominator is written on the bottom.

Division example sign for x divided by z

• x ÷ z

• x/z

### Division Formula

Dividend  ÷ Divisor = Quotient

Or,

Quotient = Dividend/ Divisor

### Divisor Meaning

In division, we divide a number by any other number to obtain another number as a result. The number which is getting divided is known as the dividend and the number which divides a given number is termed as the divisor. The number which we receive as a result is known as quotient. The divisor which does not divide the given number completely is referred to as the remainder.

### A Divisor is a Number that Divides the Other Number in the Calculation.

For example: when you divide 28 by 7, the number 7 will be considered as a divisor, as 7 is dividing the number 28 which is a dividend.

7) 28 (4

-   28

--------

0

--------

### Divisor Formula

Operation division can be written in the following manner:

Quotient= Dividend ÷ Divisor

Above equation can also be written in the following manner

Divisor = Dividend ÷ Quotient

Divisor Example

You can understand the divisor meaning in a better way by looking at divisor examples given below:

If 33 ÷ 11= 3, then 33 is the dividend and 11 is the divisor of 33 which divides the number 33 into 3 equal parts

If 50 ÷ 5 = 10, then 50 is the dividend and 5 is the divisor of 50 which divides the number  50 into 10 equal parts

1÷ 2 = Here divisor 2 is dividing the number 1 into a fraction.

5) 46 (9

-    45

--------

1

--------

In the above example - 5 is the divisor, 46 is the dividend, 9 is the quotient and 1 is the remainder.

### Solved Example

1. There are 26 men and Rs. 5876 is distributed equally among all men. How much money will each person receive?

Solution:  Money received by 26 men = Rs. 5876

Money each person will receive = 5876 ÷ 26

Divisor = 26 ,  Dividend = 5876

Quotient = 22, Remainder =0

Therefore, each man will receive = Rs. 22  (image for division process will be updated soon)

2. If 9975 Kg of rice is packed in 95 jute bags, how much rice will each jute bag contain?

Solution: Quantity of rice packed in 95 jute bags = 9975 kg

Quantity of rice packed in 1 bag = 9975÷ 95

Divisor = 95 , Dividend    = 9975

Quotient =105,  Remainder = 0

Hence, the quantity of rice each bag will contain = 105 kg  (image for division process will be updated soon)

### Interesting Facts

• De Morgan in 1845 introduced the oblique bar used as a sign process in the division.

• Division of a number by 0 is not defined

• The term colon is used to represent the division in some non-English speaking countries. The colon was introduced by Gottfried Wilhelm Leibniz in his 1684 Acta eruditorum.

• “÷” also known as obelus was introduced by famous Swiss Mathematician Johann Rahn in 1659.

Quiz Time

1. The given number that we are dividing by is called

1. Remainder

2. Divisor

3. Quotient

4. Dividend

2. 456 ÷ 7

1. 7

2. 76

3. 70

4. 75

3. In a division sum, the dividend is 336, the quotient is 42 and the remainder is 0. What will be the divisor?

1. 7

2. 9

3. 8

4. 2

1. What are the Key Properties of the Divisor?

Some important properties of the divisor to remember are:-

• Divisor divides the number into parts

• The Dividend can be completely or partially divided by the divisor. The remainder will be 0 if divided completely and the remainder will be non-integer if divided partially.

• Divisors can be either positive or negative numbers.

• The divisor 0 will obtain the result as 0, each time for any dividend

• Any number that divides an integer exactly, leaving without any remainder is also stated as the divisor.

• The divisors 1 and -1 can divide every integer present in the number line.

2. Is 1 a Prime Divisor?

A prime number is a positive integer which retains exactly two factors, which means that it can be divided by only two numbers i.e. 1 and the number itself. For example-if p is a prime number, then its only two factors will be necessarily 1 and p itself.

Number 1 is not considered as a prime divisor as for the number to be considered as the prime divisor, it is necessary to have 2 factors. But number 1 is not meeting the condition. So, 1 is not is considered as a prime divisor.