A divisor is a number that divides another number. Without a divisor, we cannot divide numbers. In division, there are four important terms that are used - dividend, divisor, quotient, and remainder. Division is a method of distributing objects equally in groups. The number that needs to be divided is known as the 'dividend' and the total number of equal groups in which it has to be divided is called the 'divisor'. The number that is left out without forming a group is termed as the 'remainder'. Show
What is a Divisor?A divisor divides a number into equal groups. The number that is being divided is called the dividend and the number that divides it is called the divisor. Divisor MeaningA number that divides another number with or without leaving a remainder is called a divisor. There are different ways to write a division problem. The following figure shows the different ways in which division is expressed and it shows how to identify the divisor, the dividend and the quotient. How to Find the Divisor?Without divisors, division is not possible. This means identifying a divisor is quite simple. For example, if we need to divide the number 35 by 5, it can be represented as 35 ÷ 5 = 7. Here, the number 35 is the dividend, the number 5 is the divisor, and the number 7 is the quotient. Sometimes we know the value of the dividend and the quotient and we need to find the divisor. In that case, we use the divisor formula. Let us learn about the divisor formula in the following section. Divisor FormulaThe divisor formula is formed for two situations - with or without a remainder:
Example 1: Find the divisor if the dividend is 48 and the quotient is 4. Solution: We know that dividend = 48, quotient = 4. So, let us apply the divisor formula, Divisor = Dividend ÷ Quotient. Substituting the known values in the formula, we get, Divisor = 48 ÷ 4 = 12. Therefore, the divisor = 12. Example 2: Find the divisor if the dividend is 59, the quotient is 11 and the remainder is 4. Solution: We know that dividend = 59, quotient = 11, remainder = 4. So, let us apply the divisor formula, Divisor = (Dividend - Remainder) ÷ Quotient. Substituting the known values in the formula, we get, Divisor = (59 - 4) ÷ 11 = 55 ÷ 11 = 5. Therefore, the divisor = 5. Divisor FactsHere is a list of a few facts related to the divisor.
Difference Between Factor and DivisorWe know that divisor is a number that divides the
dividend. When a divisor divides the dividend completely and leaves no remainder, that divisor is also called a factor of that number. Thus, all factors of a number are divisors but all divisors need not be factors of a number always. Important Tips on Divisor Given below are some of the important tips related to the divisor that we studied in this article.
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FAQs on DivisorsWhat is a Divisor in Math?A number that divides another number is known as the divisor. For example, when we divide 20 by 4 we get 5. When we write it as, 20 ÷ 4 = 5, here 4 is the number that is dividing the number 20. Therefore, 4 is known as the divisor. Is a Number a Divisor of Itself?Yes, a number is a divisor of itself because a number can divide itself completely. This means that it will give the quotient as 1. For example, 23 ÷ 23 = 1 What is the Divisor in a Fraction?A fraction is represented in the form p/q, (where q is not equal to 0). Here, the denominator q is the divisor. For example, in the fraction 6/2, the denominator 2 is the divisor. What is the Formula of Divisor?We use the divisor formula when we know the value of the dividend and the quotient. We have two scenarios to find the divisor.
What is the Divisor in the Division Fact 30 ÷ 15 = 2?Divisor is the number that divides another number. Here 30 is divided by 15. Therefore,15 is the divisor. What is the Difference Between Divisor and Dividend?A divisor divides a number into equal groups. 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 the Greatest Common Divisor?The Greatest Common Divisor (GCD) refers to the greatest positive number that is a common divisor for a given set of positive numbers. It is also known as the Highest Common Factor (HCF) or the Greatest Common Factor (GCF). For example, let us find the greatest common divisor of 10 and 22. We will list the divisors of 10 and 22. Divisors of 10 = 1, 2, 5, 10. Divisors of 22 = 1, 2, 11, 22. The common divisors of 10 and 22 = 1, 2. The greatest common divisor = 2. Whats the greatest remainder you could have with the divisor 3?Show your work. The greatest remainder you could have with the divisor 3 is 2, with the divisor 8 is 7, and with the divisor 5 is 4. If the remainder is more than the divisor, another group can be divided into the dividend.
What is the greatest remainder?The largest remainder method requires the numbers of votes for each party to be divided by a quota representing the number of votes required for a seat (i.e. usually the total number of votes cast divided by the number of seats, or some similar formula).
How do you find the largest remainder of a number?The largest remainder is supposed to be less than the half of the input number. So you should use this formula, where c is the input integer: int largestRemainder = c % ((c/2) + 1); For an even number, e.g. c = 24 it gives largestRemainder = 11.
What is the greatest remainder when you divide by 8?Answer and Explanation:
This is because if the remainder is 8 or above, the quotient will increase ad the remainder obtained will lie lie between 0 and 8. The largest of the possible remainder in such case should be 7.
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