Formula to find number of divisors
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formula for sum of divisors If one knows the factorization of a number, one can compute the sum of the positive divisors of that number without having to write down all the divisors of that number. To do this, one can use a formula which is obtained by summing a geometric series . Number of divisors / sum of divisors. In this article we discuss how to compute the number of divisors $d(n)$ and the sum of divisors $\sigma(n)$ of a given number $n$.
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Jan 25, 2008 · Number of Factors of a Large Integer January 25, 2008. Occasionally a GMAT question will ask you for the number of factors of a certain integer. Usually that integer will be large (441 is the object of one question that comes to mind), since the question wouldn't be very challenging otherwise. Essentially it boils down to if your number n is: n = a^x * b^y * c^z. (where a, b, and c are n's prime divisors and x, y, and z are the number of times that divisor is repeated) then the total count for all of the divisors is: (x + 1) * (y + 1) * (z + 1). Anyway, I haven't given you the final answer; there is a formula that you can use to find out the number of divisors of a number, but I thought I'd let you try to figure it out first for yourself. If you don't get it, you can always write back to us and we'll help you out again. Number of divisor . If you are interested in knowing how to find out number of Divisor for any number n then stay tuned. Let’s understand some basic terms first . What is a divisor: A number p (positive integer) is said to be a divisor of number n (positive integer) if and only if n/p is an integer. C Program to Display Factors of a Number In this example, you will learn to find all the factors of an integer entered by the user. To understand this example, you should have the knowledge of the following C programming topics:
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Anyway, I haven't given you the final answer; there is a formula that you can use to find out the number of divisors of a number, but I thought I'd let you try to figure it out first for yourself. If you don't get it, you can always write back to us and we'll help you out again. Jul 16, 2008 · Does anyone know the Formula for the number of Divisors (Factors) of a Positive Integer? example: the total factors of 6 are 1,2,3, and 6 which makes the number of divisors is 4.
2010 Mathematics Subject Classification: Primary: 11A25  of a natural number $n$ The number of natural divisors of the number $n$. This arithmetic function is ...
In number system the concept of factors of numbers is one of the important sub-topic. In this article, we will discussed about definition of factors of number, formulas for finding number of factors, sum of factors, product of factors, even number of factors, odd number of factors, perfect square factors and perfect cube factors for any number.