Let us see factorisation at work on three numbers.

Example — Some factorisations

168=2337,273=3713,576=2632168 = 2^3\cdot 3\cdot 7, \qquad 273 = 3\cdot 7\cdot 13, \qquad 576 = 2^6\cdot 3^2

Every number is represented by the set of its prime factors, each with its own multiplicity: it is its arithmetic “identity card”.

Each number as the set of its prime factors with the corresponding multiplicity.

Topics: Numbers and operations
Concepts: Prime factorisation · Prime number
Skills: Factorise