To understand prime factorization, we must first define what a prime number is. A prime number is one whose only elements are one and itself; it cannot be generated by multiplying two lesser natural numbers. One important element to remember is that the two factors must be distinct, hence 1 is not a prime number since both factors of 1 are the same. For example, 5 is a prime number since it has just two factors: 1 and 5. 6 is not a prime because, in addition to 1 and 6, there are two additional components – 2 and 3.

There are an unlimited amount of primes, and there is no easy formula for determining whether or not a number is a prime. That’s why our prime factorization calculator is such a versatile tool – it can also be used as a prime number calculator!

What exactly is a prime factor?
Prime Factors are number factors that are prime numbers in and of themselves. For example, assume we wish to identify the factors of 20, that is, what whole integers multiply to give us 20. We know that 1 * 20 equals 20, 2 * 10 equals 20, and 4 * 5 equals 20. However, 20, 10, and 4 are not prime factors. The only prime factors in the number 20 are 2 and 5. You may also get these factors by using our factor calculator.

What exactly is prime factorization?
When we divide a number into components that are solely prime numbers, we call this prime factorization. In the following example, the components are 1, 2, 4, 5, 10, and 20. Finding at least one prime initial component is a good place to start. Because 5 is a prime number, we may begin with 4 * 5. Because 4 is not a prime number, we divide it by 2 * 2. Because 2 is a prime number, the prime factorization of 20 is 2 * 2 * 5. Check use our prime factorization calculator to confirm this conclusion.

Understanding the Prime Factorization Formula
Let us first define prime factorization before learning the prime factorization formula. It is a method of representing a number as a product of its prime components. “Every composite number can be factorized as a product of primes, and this factorization is unique, aside from the order in which the prime factors appear,” asserts the basic theorem of arithmetic. The prime factorization formula may be used to calculate the prime factorization of any integer.

What Is the Formula for Prime Factorization?
Any composite number may be expressed as the product of powers of prime numbers, and this method of expressing the composite number as the product is known as prime factorization. Any number’s prime factorization formula is as follows:

N = Xa × Yb × Zc

where,
N = any integer

X, Y, and Z are prime factors of N.
A, b, and c are the exponents of the prime factors X, Y, and Z.
How do you discover a number’s prime factorization?
To compute the prime factorization of any integer, use the following approach and formulas:

1. Method of Division

The techniques for calculating a number’s prime factors are identical to the steps for determining the factors of any number.

Begin by dividing the number by the lowest prime number, i.e., 2, then by 3, 5, and so on to discover the number’s smallest prime component.

Divide the quotient by the lowest prime number once more.
Repeat the method until the quotient after repeated division equals one.

Finally, express the number as the sum of all prime factors.
2. Factor Tree Technique

Represent the provided number as a tree.
As the root, keep the number in the middle.

Divide the number by its lowest prime factor, then express the result as a number in one branch.

Rep the above point for the quotient obtained in the other branch until you have 1 as the factor for the remaining number.

Every branch of the resulting tree will ultimately terminate in a prime integer.

When grading Psychology and Learning, the optimal combination will be the exam, assignments, quizzes, and the final exam. The quiz will entail the questions in the discussion section. When assigning the problem in every discussion section, it might be an easier or harder problem because selection will be random. In the case of extra credit, it will be measured based on the amount of time one spends on it and also the quality of work. In the final exam, the instructor will take the exam questions from the number of sources including the textbooks, lectures, and assigned problems. Therefore, the teacher will have to include all the scores the students acquired in the exams, quizzes, assignments, and the final exam when grading the psychology of learning.

The final score is 100 percent. It will include the combination of the 20% quizzes, 20% midterm exam, 30% assignments, 10% extra credit, and 20% final exam. The combination of the exams, quizzes, assignment, extra credit, and the final exam will provide the final score for the semester. A carefully written test and graded assignments are key to the accurate grading. The instructor will communicate the percentages of every grade to the students so that they can understand the instructor’s expectations for the student to structure their work effort. Completing the quizzes, exam, and assignments tend to carry the most grades than even the final exam. Thus, it will be important for the student to pay more attention when completing the assignments, mid exams, quizzes, and even the extra credit so that they can pass the final exam. The final exam will encompass everything that the student studied in the class.

An approach to boosting class attendance and one that will reduce lateness is through structuring the class. It is significant to structure the class in such a manner that students who attend the class will receive obvious benefits such as better grades, informative entertainment, and personal growth. During the class sessions, it will be necessary to test on materials covered in class. All the class material presented including video clips, guest speakers, and class discussion will be fair games that convey that class time is of great value. Students should know that the amount of in-class material will be in the tests. It is necessary to ensure that the subject matter is personally relevant, which will ensure that comprehension and understanding are meaningful. In this way, it will motivate students to attend lectures that reflect elements of the interests, background, or future. Some students may leave class because of the boring sessions of only listening to the instructor a better way of ensuring that students do not leave class is through ensuring that they participate in class. Providing students with a chance to discuss certain issues of relevance during the class session may help reduce students leaving class early.

A better strategy to help students perform well in class is through structuring the course and each class to help students know what they expect. At every beginning of the class, I will explain the focus of the class and what they must be able to do and know by the end of the class. Creating a positive climate for learning will also help support students. It is necessary to craft certain opportunities for students to participate in the learning experience and also promote social exchange for learning among students.

Introduction
The multistep process of developing and implementing an information system is referred to as the System Development Life Cycle. There are various SDLC models with each consisting of a series of defined phases or steps. This paper discusses two types of System Life Cycle Models: Seven steps model and the spiral model.

Seven step model
Planning
The objectives and requirements of the project are determined at the planning step. An estimation of resources including costs and personnel is also made in relation to the proposed project. The available information is analyzed, and alternative solutions are considered. When the most viable alternative is arrived at, the information is put together into a project plan. (Jeremy, 2008)

System Analysis
The end user requirements are determined at this phase. The project team determines the end-user requirements with the assistance of customer focus groups, which present their needs and expectations on the system and how it will perform. The needs and requirements are documented in this phase. (Jeremy, 2008)

System design
The design step is the architectural phase of system development. Charts are used to show the flow of data processing, and the project team establishes the most logical design. The operations and functions of the system under development are described in detail during this phase. Reviews on the design are also conducted to ensure the design addresses efficiency, practicality, cost, security, and flexibility. (Jeremy, 2008)

System development
During the system development phase, the system developers execute the requirements of the design step. Actual user interface screens and database are designed by the developers, the code for the data flow process are also generated in this phase. The system development phase entails the conversion of the detailed design into a finished product. (Jeremy, 2008)

Testing phase
The testing phase involves the testing of all aspects of the system for performance and functionality. The whole system is tested for integration with other products and other previous versions with which it requires interacting. Fundamentally, the main purpose of the testing step is to validate that the system includes all the end user requirements reflected in the analysis step. Additionally, the testing phase also ensures that all the functions are accurately functioning; that the system is aligned to the standards of the business and the end users and that the system works with all other systems including the previous systems. (Jeremy, 2008)

Implementation Phase
The implementation phase entails the deployment and installation of the system in end user’s premises, ready to become running. End user training may be required to ensure that they can effectively use the system. The length of implementation is dependent on the complexity of the system.

Maintenance Phase
The maintenance phase is carried out on a periodic basis to ensure that the system does not become obsolete. Maintenance involves continuous evaluation of system’s performance. It also entails providing latest updates for particular system components to ensure that it meets the right standards. (Jeremy, 2008)

Spiral model
The Spiral Lifecycle model is comparable to the Incremental model except that it incorporates a risk analysis process. A project passes through four phases repeatedly in sequence in spirals. Critical requirements are identified for the first spiral at the start of the process while the Subsequent spirals add functionality to the baseline spiral. (University of Maryland, 2007)

Planning Phase
The business clearly defines its high-level requirements and project goals during this phase. The need and purpose of the system are also established and documented during this step. Key rules are also identified here in the initiation phase. The planning phase entails defining timelines, resources and other project related information. Interviews are conducted to help in developing a comprehensive system that fits users’ requirements. (University of Maryland, 2007)

Risk Analysis
The risk analysis step is fundamental to assess both management and technical risks associated with the project. Risks are identified, and alternative solutions are developed to address factors that may deter the successful completion of the system. (Shelly & Harry, 2009)

Engineering step
A representation of the system is built at this phase. A prototype is tested against the risk evaluated based on the expectations of the end users. The prototype is refined and rectified until end user expectations are achieved.

Evaluation
The final system is thoroughly evaluated during this step. End user feedback is required on which to base the evaluation.

The figure shows spiral model representing four phases; planning, risk analysis, engineering, and evaluation. The radius component represents the project cost while the angular component represents the progress in the current spiral.

Comparing the two models
Spiral Life Cycle Model represents a very flexible system lifecycle model. The seven step model is a rigid life cycle model system on the other hand. The project manager in a spiral model can determine the development phases according to the complexity of the project. The spiral model is transparent as Project monitoring is very effective and easy given that each phase and each loop is reviewed by concerned people. The seven step model does not allow much interaction with the end users during its development. This makes it less transparent. Gary (Shelly & Harry, 2009)

The spiral model is more attractive compared to the seven step model as Risk Management is an inbuilt feature of the model. In a spiral model, alterations can easily be introduced later in the life cycle. Coping with such changes isn’t a difficult task for a spiral model project manager. The introduction of changes in the seven step model presents a difficulty.

Spiral models are appropriate for high-risk projects, where business requirements may be unstable. They are not suitable for low-risk projects. Seven step models suit low-risk projects where projects are not exposed to high risks to warrant detailed risk analysis.

Spiral Model usually involves high cost compared to the seven step model. Seven step models are cheaper since risk analysis is not fundamental to the development process. They do not also require expertise to carry out these steps. (Valacich et al, 2015)

Protocols and Rules need to be followed properly to successfully implement the spiral model. The factor makes it tough as they should be followed throughout the span of the project. Seven step model is easy to develop rules, and protocols are not detailed or complex. In the spiral model, using the same prototype in future presents a difficulty as a result of various customizations allowed from the client.