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This is the final article covering some more handy methods to find remainders, out of which the most comfortable method can be chosen to save time dealing with remainder questions. Method 1: Example: Suppose we have two numbers “a” and “b”. If “a” is in form of 7n +4...

This article further covers the ways to calculate remainders.  Remainder Theorem: Remainder theorem states that when a polynomial function f(x) is divided by (x –a) where a is a constant, it will give us a remainder f(a). Remainder of Let us understand this with the...

In the previous article, we discussed 2 ways to find remainders. Now, we’ll look at more methods to find remainders. In this article, we will discuss 3 important theorems that make finding remainders very easy and simple. Method of finding Remainder by Euler’s,...

So far we have been introduced to remainders. In mathematics section of any exam, questions on remainder are quite common. Therefore, you should know this topic in and out. So, let’s get started. Various Ways To Calculate Remainders: Method of finding Remainder by...

When dealing with the division of numbers, it is certain that the number to be divided is not always a factor the number with which it is divided. This brings remainders into existence. So what are remainders? In this article, we are going to study about them and it...

In the previous articles on LCM and HCF, we studied the basic concepts and formulas required to solve questions. Now, we study some important shortcuts, tricks and formulas that are important from exam’s point of view. LCM – LCM of two or more fractions is given by...

Previously, we learned the concept of LCM and HCF. Also, we saw how to calculate LCM and HCF. It’s time we proceed further to see where does LCM and HCF find application. Application of LCM:  TYPE 1: (When remainder is same) In this type, a number N is divided by two...

A number has limited number of factors unlike multiples, so out of these factors what is an HCF? As the name suggests, HCF is the highest common factor of two or more numbers. In other words, HCF is the biggest number that can divide all the given numbers.  METHODS TO...

There may be infinite number of multiples of a number. So what is an LCM? As the name suggests, LCM is the least common multiple of two or more numbers. In other words, LCM is the smallest positive common multiple of given numbers.  Example: LCM of 3 and 4 : Multiple...

When dealing with numbers, it happens so, that some numbers when added to themselves certain number of times result in a number which can be completely divided by both the original number and the second number. (Second number being the number of times of addition of...

In this article we shall study more about factors. Hence, we’ll learn how to calculate the number of factors ending with zero, factors not ending with zero and factors divisible by various numbers(for eg: 12). Factors that end with zero: Factors whose unit digit is...

In this article we’ll discuss an important concept related to factors i.e. Expressing a number as a product of 2 factors and ways to calculate the product of factors. Expressing a Number as Product of Two Factors: There can be the following 2 cases: Case 1 :- when the...