# Divisor

In Mathematics, Divisor means a number which divides another number. It is a part of the division process. In division, there are four major terms which are commonly used, such as Dividend, Divisor, Quotient and Remainder. We will learn the definitions of these terms in this article.

In Mathematics, we perform the most basic operations, which are addition, subtraction, division and multiplication. These arithmetic operations have been taught in our primary classes. Here, we will discuss the division factor, known as the divisor.
Dividend ÷ Divisor = Quotient

## Divisor Meaning

In division, we divide a number by any other number to get another number as a result. So, the number which is getting divided here is called dividend. The number which divides a given number is the divisor. And the number which we get as the result is known as the quotient. The divisor which does not divide a number completely produces a number, which is referred to as remainder.

## Divisor Formula

So, we can write the operation of division in the form of;
Dividend ÷ Divisor = Quotient

Or we can also write the above expression as

Divisor = Dividend ÷ Quotient

Here, ‘÷’ is the symbol of division. But sometimes, it is also represented by the ‘/’ symbol, such as

Dividend / Divisor = Quotient

### Examples

1. In 22 ÷ 2 = 11, 22 is the dividend, 2 is the divisor and 11 is the quotient.
2. If, 45/5 = 9, then 5 is the divisor of 45, which divides number 45 into 9 equal parts.
3. 1 ÷ 2 = 0.5, the divisor 2 divides the number 1 into fraction.
4. In the below-given example, 5 is the divisor, 52 is the dividend, 10 is the quotient and 2 is the remainder.

### Key Points to Remember

• Divisor divides the number into parts.
• The divisor can divide the dividend either completely or partially. When divided completely, the remainder is zero and when divided partially, the remainder is a non-zero integer.
• Divisor could be a positive or negative number.
• A number that divides an integer exactly, leaving no remainder, is also termed as the divisor.
• The divisor 1 and -1 can divide every integer, present in the number line.
• The divisor, zero, gives the result as 0, every time, for any dividend.

## Frequently Asked Questions on Divisor

### What is a divisor?

A divisor is an integer that divides another integer to produce a result. The number which is divided is called the dividend and the result obtained here is the quotient.
Dividend ÷ Divisor = Quotient

### Is a number a divisor of itself?

Yes, a number is a divisor of itself, which results in quotient 1. For example, 4 is divided by 2 and 4 itself.
4 ÷ 4 = 1

### Can a divisor be negative?

Divisors can be both positive and negative, but usually, we consider positive terms for divisors. For example, 4 is divisible by six divisors: -2, -1, -4, and 2,1,4. But only positive terms are considered here.

### What is the divisor in a fraction?

A fraction is represented in the form of p/q. So, p, which is the numerator here is considered as dividend and q, which is the denominator here, is considered as the divisor.

### Is 1 a prime divisor?

No, it is not. To be prime divisor a number has to meet the prime number condition, according to which there should be a minimum of two factors.