 # Factorization – A Special Operation of Mathematics

Mathematics is vivid with an enormous variety of topics. It is a thrilling subject where one gets to learn. It involves different types of computations ranging from the easiest to the most complex ones. The only factor which remains constant in all these computations is undeterred practice. If one needs to master Mathematics, it is crucial to concentrate on the fundamentals. A tall building cannot be built without working on the base. Similarly, it is not possible to gain control over the complex problems of Mathematics without having good knowledge of the basics. Mathematics has a very broad spectrum and is a core portion of all streams. It is used extensively in daily life problems. It is associated with a variety of small and large businesses. This is the main reason why the basics of Mathematics should be crystal clear to the students. The students work hard to obtain a good score in Mathematics. In Mathematics, practice is a key factor that determines the score of a student. One needs to be a diligent and hard-working student to obtain good marks in Mathematics.

One of the most basic operations of Mathematics is multiplication. This is known well to all people. Everybody is well-acquainted with this operation. It is very simple and follows a simple process. Multiplication leads to the formation of certain terminologies like factors and multiples which are very important. A number is said to be a factor of another number if it divides the respective number completely and does not leave any remainder. The concept of factors gives rise to applications like prime factorization. A prime number is a number that is divisible only by itself and unity.

A prime factor of a number represents a number that is not only a factor of the given number but also a prime number. The process of prime factorization involves finding the factors which are the prime factors of the number specified. It is a very important topic asked in both Maths and coding. A prime factor is evaluated by first finding the factors and then checking for prime number criteria. There are two important methods of finding the prime factorization: one is the division method and the other is the factor tree method. Both of these methods are equally important. This article discusses in detail all important properties of prime factorization.

## Importance of prime factorization:

Cryptography: This is one of the major uses of the numbers given. The process of prime factorization is utilized in protecting crucial information. This reduces the length of the code drastically.

Applying the fundamental theorem of arithmetic: Prime factorization also plays a vital role in computing the highest common factor and the lowest computing factor. This is done by multiplying the common prime factor with the respective powers. In the case of HCF, the power is the smallest. In the case of lcm, the power is the largest.

One gets to learn something new: Prime factorization plays a crucial role in increasing the creative thinking of the student. The student gets to learn something new which is fundamental for knowledge. Therefore, everyone should try this topic at least once. It will not only boost the level of thinking but will also help in solving complex problems which would otherwise take a lot of time.

Applied in coding: Prime factorization is a good topic used in coding. Therefore, it is very essential to have basic knowledge regarding topics such as these. These prove vital in some complex Mathematical problems.

This article discusses in detail the fundamentals of prime factorization. It is a very important method with wide-scale applications. This topic requires a lot of practice and needs a lot of dedication to develop clarity. Students can seek assistance from Cuemath, an online platform designed specifically to assist students in Mathematics and coding. It is an amazing platform that all teachers recommend. Many students use this platform to solve their doubts and do well in the examinations. This article gives substantial knowledge to the readers about prime factors.