Prime and Composite Numbers-Prime Factorisation-HCF and LCM Worksheets (with solutions)

A collection of three worksheets on the following:

• Prime numbers and prime factorisation. The exercises require to decide whether some given numbers are prime or not and reach some conclusions about prime numbers, find the factors of a number given its prime factorisation, find the common factors of two numbers given their prime factorisations and find the prime factorisation of a number using repeated division.
• Prime factorisation. The exercises require to find the prime factorisation of a number using repeated division.
• Highest common factor and lowest common multiple. The exercises require to find the prime factorisation of some numbers and then use it to find their HCF and their LCM.

Detailed solutions are included.