What is a Divisor in Math? (Definition, Examples) - BYJUS (2024)

FAQs

What is a Divisor in Math? (Definition, Examples) - BYJUS? ›

A divisor is a number that divides the dividend into equal groups. We often come across three terms in an operation involving division: dividend, divisor, and quotient. We can write the terms as follows: Dividend ÷ Divisor = Quotient.

The number that is being divided is called the dividend and the number that divides it is called the divisor. For example, in 72 ÷ 6 = 12, 72 is the dividend and 6 is the divisor.

What Is a Divisor in Math? In division, the divisor is the number by which the dividend is divided to obtain the quotient. A number that divides another number either completely or partially is known as a divisor.

The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient. Notice how you can always switch the divisor and quotient and still have a true equation: 15 ÷ 3 = 5.

In 22 ÷ 2 = 11, 22 is the dividend, 2 is the divisor and 11 is the quotient. If, 45/5 = 9, then 5 is the divisor of 45, which divides number 45 into 9 equal parts. 1 ÷ 2 = 0.5, the divisor 2 divides the number 1 into fraction.

noun. : a number that divides two or more numbers without remainder. 4 is a common divisor of 12, 24, and 36. called also common factor.

How to find a Divisor? We can find a divisor of any division problem by either of the following formulas: Divisor = Dividend ÷ Quotient. If there is a remainder which is not a zero, divisor = (Dividend – Remainder) ÷ Quotient.

There are 14 numbers between 1 and 100, which are exactly divisible by 7. They are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

A divisor is any number that divides another number. Any number that could divide 42 is a divisor of 42. Numbers that divide 42 evenly without a remainder are called factors of 42. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

In a division problem, the dividend is the number that is being divided. The number that is doing the dividing is the divisor. The quotient is the answer to a division problem, or the number of times the divisor goes into the dividend evenly. The remainder is what is left over, if anything, after dividing.

What is proper divisor in maths? ›

A positive proper divisor is a positive divisor of a number , excluding itself. For example, 1, 2, and 3 are positive proper divisors of 6, but 6 itself is not.

The number on the left will always be the dividend, and the number on the right is the divisor. Where you normally read division problems from left to right, here you read from top to bottom. 12 divided by 2. The top number is our dividend and the bottom is the divisor.

A dividend is a number that is divided by the divisor. The divisor is the factor that divides the dividend. The result obtained by the division process is called the quotient and the number left behind after the completion of the division is called the remainder.

The number which divides a given number is the divisor. Also, the number which we get as a result is known as the quotient. The divisor which does not divide a number completely produces a number, which is referred to as remainder. We now hope you have a clear understanding of divisor, dividend, quotient and remainder.

First, the basic format of a division problem looks like 12 ÷ 2. You read this like 12 divided by 2, so that means that 12 is the number getting divided up, making it the dividend. We're dividing by 2, so that makes 2 the divisor.

How to find a Divisor? We can find a divisor of any division problem by either of the following formulas: Divisor = Dividend ÷ Quotient. If there is a remainder which is not a zero, divisor = (Dividend – Remainder) ÷ Quotient.

The divisors of a number other than 1 and the number itself are called factors and the given number and 1 are called divisors. For example Divisors of 42 are: $1,2,3,6,7,14,21,42$. Here, $2,3,6,7,14,21$ are the factors of 42 and 1, 42 are the divisors of 42.

Therefore, 1 and 24 are two factors of 24. Now, 24 is an even number, thus it is divisible by 2. 24/2 = 12, so 2 is a factor. 24 is also a multiple of 3, 4, 6, 8 and 12, therefore the other factors of 24 are 3, 4, 6, 8, and 12.