Factorisation- Introduction, Methods, Formula & Solved Examples

# Factorisation- Introduction, Methods, Formula & Solved Examples

## What is Factorisation?

Factorisation is the process of writing a number as a product of its prime factors. For example, the number 24 can be written as the product of its prime factors 2, 3 and 4.

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## Algebraic Factorization

Algebraic factorization is the process of finding all the factors of a number. Factors are numbers that can be multiplied together to produce the original number. Algebraic factorization is a technique that can be used to solve equations.

## Methods of Factorization

There are a few different methods of factorization that can be used to find the factors of a number. The most common methods are the prime factorization method and the divisibility method.

The prime factorization method finds the prime factors of a number and then multiplies them together to find the total factors of the number. The divisibility method finds the factors of a number by dividing the number by smaller numbers until it is divisible by one.

Both methods can be used to find the factors of a composite number, which is a number that is not prime. The prime factorization method is better for finding the factors of a large number, while the divisibility method is better for finding the factors of a small number.

## What is the Purpose of Factoring?

The purpose of factoring is to provide a company with short-term financing. Factoring allows a company to sell its accounts receivable (invoices) to a third party, typically a financial institution, in exchange for a lump sum of cash. This cash can be used to finance the company’s operations until the accounts receivable are paid.

## What is a Factor Tree?

A Factor Tree is a way of breaking down a number into its prime factors. Prime factors are the numbers that can be multiplied together to create the original number. For example, the prime factors of 12 are 2, 3, and 4. This means that 12 can be created by multiplying 2, 3, and 4 together.

## Purpose of a Factor in Real Life

A factor is a number that is multiplied by another number to produce a result. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. The result of multiplying 1 by 12 is 12, the result of multiplying 2 by 12 is 24, and so on.

In the real world, factors are often used in business and finance. For example, a business might want to know how much money it needs to borrow in order to finance a new project. In order to figure this out, the business might need to calculate the total cost of the project and then divide that number by the loan’s interest rate. This will give the business the number of periods it will need to pay back the loan.

## The Importance of Mathematics

Mathematics is one of the most important tools that we have as humans. Mathematics is the study of quantity, structure, space, and change. It is a way of looking at the world and trying to understand it. Mathematics is used in many different fields, including science, engineering, and business.

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