What Is Divisor And Dividend
In Mathematics, Divisor means a number which divides another number. It is a office of the sectionalisation process. In division, in that location are four pregnant terms which are commonly used, such every bit Dividend, Divisor, Quotient and Remainder. You volition learn the definitions of these terms in this article.
In Mathematics, we perform the most basic operations, which are add-on, subtraction, division and multiplication. These arithmetics operations have been taught in our master classes. Here, y'all volition larn about the division factor, known every bit the divisor.
Dividend ÷ Divisor = Quotient
Divisor Meaning
In division, we carve up a number by whatever other number to become another number as a result. And so, the number which is getting divided here is called thedividend. The number which divides a given number is the divisor. And the number which we get as a result is known as the quotient. The divisor which does not split up a number completely produces a number, which is referred to as remainder.
Divisor Formula
The functioning of division in the grade of:
Dividend ÷ Divisor = Quotient
The above expression tin too be written every bit:
Divisor = Dividend ÷ Caliber
Here, '÷' is the symbol of sectionalization. Simply sometimes, it is also represented past the '/' symbol, such as
Dividend / Divisor = Caliber
Examples
- In 22 ÷ 2 = 11, 22 is the dividend, 2 is the divisor and 11 is the quotient.
- If, 45/v = 9, then 5 is the divisor of 45, which divides number 45 into nine equal parts.
- 1 ÷ 2 = 0.5, the divisor two divides the number 1 into fraction.
- In the beneath-given instance, 5 is the divisor, 52 is the dividend, 10 is the quotient and 2 is the remainder.
How to represent the Divisor?
Nosotros can represent the divisor in 3 different ways. These are given in the effigy below:
Primal Points to Remember
- Divisor divides the number into parts.
- The divisor tin can dissever the dividend either completely or partially. When divided completely, the remainder is zero and when divided partially, the residual is a non-zero integer.
- Divisor could be a positive or negative number.
- A number that divides an integer exactly, leaving no remainder, is as well termed as the divisor.
- The divisor 1 and -1 tin dissever every integer, present in the number line.
Divisors of 18
We know that the numbers which separate the given number exactly are referred to every bit factors. These are also called divisors. From this, we can write the divisors of eighteen as given beneath:
Factors of 18:
1 × 18 = 18
2 × 9 = 18
iii × 6 = xviii
Factors are 1, 2, three, six, ix and 18.
Therefore, the divisors of 18 are 1, two, iii, 6, 9, and eighteen.
Divisors of 26
The divisors of 26 are the numbers which divide it exactly without leaving whatsoever remainder.
Factors of 26:
1 × 26 = 26
2 × 13 = 26
Hence, the divisors of 26 are 1, 2, 13 and 26.
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Frequently Asked Questions on Divisor
What is a divisor?
A divisor is an integer that divides another integer to produce a issue. The number which is divided is called the dividend and the outcome obtained hither is the quotient.
Dividend ÷ Divisor = Quotient
Is a number a divisor of itself?
Yes, a number is a divisor of itself, which results in caliber 1. For case, 4 is divided by 2 and four itself.
4 ÷ 4 = ane
Tin can a divisor exist negative?
Divisors can be both positive and negative, but usually, we consider positive terms for divisors. For example, 4 is divisible by vi divisors: -2, -1, -four, and 2, i, 4. But only positive integers 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 equally the divisor.
Is ane a prime divisor?
No, it is not. To be a prime number divisor a number has to meet the prime number condition, according to which at that place should exist a minimum of 2 factors.
What Is Divisor And Dividend,
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