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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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