Number System part 1 : Factors
Factors of a number is an important subtopic from number systems. In this article, we will discuss the fundamentals of factors of a number. Almost every competitive examination has 2-3 medium to difficult level question based on factors of a number. Taking this in consideration, we will discuss in detail the advanced application of this topic, to give you an edge over other candidates. What are Factors of a number? Factors of a number N refers to all the numbers which divide N completely. These are also called divisors of a number. Basic formula related to factors of a number These are certain basic formulas pertaining to factors of a number N, such that, N= p a q b r c Where, p, q and r are prime factors of the number n. a, b and c are non negative powers/ exponents Number of factors of N = (a+1)(b+1)(c+1) Product of factors of N = N No. of factors/2 Sum of factors: ( p 0 +p 1 +...+p a ) ( q 0 + q 1 +....+q b ) (r 0 +r 1 +....