# Blog

## What are the types of factorization? ## What is an example of factorization?

• In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and (x – 2)(x + 2) is a factorization of the polynomial x2 – 4.

## How to do prime factorization?

• Step 1: Divide the given number by the smallest prime number. In this case,the smallest prime number should divide the number exactly.
• Step 2: Again,divide the quotient by the smallest prime number.
• Step 3: Repeat the process,until the quotient becomes 1.
• Step 4: Finally,multiply all the prime factors Example: Below is a detailed step-by-step process of prime factorization by taking 460 as an example.
• Step 1: Divide 460 by the least prime number i.e. 2.

## What is special factorization?

• SPECIAL FACTOR. an ability used in cognitive processes such as a mathematical ability. It was proposed in 1904 by British psychologist and psychometrician Charles Edward Spearman (1863 SPECIAL FACTOR: "Joe had a special factor of cognition and was exceptional with numbers.".  