Divisor and Division - Meaning, Formula Properties with Example

Table of Contents

An Introduction to Divisor

A divisor of a number is a number that divides evenly into the number with no remainder. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12.

The number 1 is a divisor of every number. Every number is a divisor of itself.

Divisor - Infinity Learn

Division Meaning

In mathematics, division is the process of dividing one number by another. The result of this process is called the quotient. The divisor is the number that is being divided by the dividend.

Division Symbol

A division symbol (/) is a mathematical symbol used to indicate division. It is written between two numbers and means “divide the first number by the second number”. For example, 5/2 would mean “divide 5 by 2”.

Division Formula

The division formula states that the quotient of two integers a and b, where a is divisible by b, is also divisible by b. In mathematical terms, this can be written as:

a/b = q where a is divisible by b and q is also divisible by b

Divisor Meaning

The divisor of a number is the number that is divided by the given number to produce the result.

Divisor Definition

A divisor is a number that is evenly divisible by another number. For example, the divisors of 12 are 1, 2, 3, 4, 6, and 12.

Divisor Formula

The divisor formula is a mathematical equation that is used to calculate the divisor of a given number. The divisor formula is as follows:

\divisor = \frac{n}{d}

Where: divisor is the divisor of the given number

n is the given number

d is the divisor of the given number

Divisor Example

The divisor of a number is the number that will divide evenly into that number with no remainder. For example, the divisor of 12 is 1, 2, 3, 4, 6, and 12 because 1, 2, 3, 4, 6, and 12 all divide evenly into 12.

General Form of Division

A division is a mathematical operation that finds the quotient of two integers by dividing the first integer by the second integer.

Special Cases of Division-

There are a few special cases of division which are not covered by the basic rules.

1. Division by zero

When you divide a number by zero, the result is undefined. This means that the answer cannot be determined.

For example:

6 ÷ 0 = ?

The answer is undefined.

Divisor in Division

The divisor in division is the number that is being divided by another number. The divisor is always the smaller number in a division problem.

Remainder in Division

The remainder in division is the number that is left over after division. For example, in the division 9 ÷ 3, the remainder is 2 because the number 9 is divided into 3 parts, with 2 left over.