Fundamental Theorem of Arithmetic

Chapter Contents

Theorem

Every number can be expressed as product of primes and this factorisation is unique, apart from the order in which the prime factors occur.

Example

45 is a composite number.

It is expressed as:

\(45 = 3 \times 3 \times 5\)

Note

Every number in maths can either be a prime or a composite number except 0 and 1 because 0 and 1 are neither a prime number nor a composite number.