What is factorisation?

Factorization 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,

$3 \times 5$ is a factorization of the integer $15$.

 Prime numbers are those numbers that have only two factors; 1 and the number itself.

For example:

2, 3, 5, 7, 11, 13....are prime numbers. No other numbers can divide prime numbers completely without leaving a remainder.

Composite numbers are those numbers that are not prime numbers and have three or more factors.

Every composite number can be written as a product of its prime factors.

Prime factorization is the process of breaking down a number as a product of its prime factors.

For example:

• $12 = 2 \times 2 \times 3$
• $75 = 3 \times 5 \times 5$
• $112 = 2 \times 2 \times 2 \times 2 \times 7$

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Updated on: 10-Oct-2022

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