# KvLn

B.tech., M.S.(from IIT, Madras). Love for math and love for teaching makes me feel more than happy to help.

back to homepage

# KvLn Free Articles

### Greatest Common Factor : Finding Made Easy - Lucid Explanation of an Efficient Method With Examples

Finding the largest positive integer that divides two or more numbers without remainder (G.C.F.) is an important topic in Elementary Number Theory. One way of finding the G.C.F. is by prime factorizations of the numbers. The second method based on the Euclidean algorithm, is more efficient and is discussed here. We provide lucid explanation of the method with a number of solved Examples.

### Binary Number System : Lucid Explanation of Conversion from and to Decimal Number System - Examples

We make the journey of learning the Binary Number System, binary place value charts, Conversion of base-two numerals to base-ten numerals and vice versa, pleasant, by lucid explanation with examples.

### Quadratic Formula : Lucid Explanation of Its Derivation and Application in Solving Problems

We explain lucidly, the derivation of Quadratic formula and applying it in finding the roots, Relation between roots and coefficients, Nature of the roots, finding Quadratic Equation whose roots are given, with Examples.

### Prime Factorization of Natural Numbers : Lucid Explanation of the Method of Finding Prime Factors

We define prime Factors, multiplicity, Prime Factorization with examples. We explain Fundamental Theorem of Arithmetic. We give step by step explanation of Method of Prime Factorization of a given natural number. We present solved examples with lucid explanation. We apply Divisibilty Rules when required.

### Factoring Trinomials (Quadratics) : Lucid Explanation of the Method With Examples

We give step by step explanation of the method of factoring Quadratic Expressions. We apply the step by step method to solve a number of examples. The examples are so chosen that all the models are covered. Lucid Explanation of the method and its application to solve a number of problems, help the reader to feel confident to solve similar problems on his own.

### Modular Arithmetic (Congruences) Of Elementary Number Theory : Lucid Explanation With Examples

Modular Arithmetic (Congruences) is simply the arithmetic of remainders. It is an important part of Elementary Number Theory. Here, we give a lucid explanation of it with examples from day to day life. The explanation is so simple and interesting that any body with a school level math background can understand it.

### Multiplication Table - Vedic Mathematics' Simple Technique Helps in Remembering It Easily

By using a simple technique from Vedic Math, I help you to remember Multiplication Table. You need to just remember some basic multiplication facts (2 times table upto 8 x 2; 3 times table upto 7 x 3; 4 times table upto 6 x 4; 5 times table upto 5 x 5;). Using these basic multiplication facts, we can arrive at all other values.The method is easy to follow, learn and apply.

### Divisibility Rules for Prime Divisors

We present the general divisibilty rule for a Divisor which is a prime number and apply it to specific cases. We apply the rule for divisors 7, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 (i.e. prime numbers below 50). We give the proof of the divisibilty rule for 7. The explanation is lucid and easy to follow, understand and apply.