This chapter covers how to classify whole numbers as prime or composite using trial division, express a composite number as a product of its prime factors using index notation, find the square root of a perfect square and the cube root of a perfect cube using prime factorisation.
Learning Outcomes
Classify whole numbers as prime or composite using trial division
Express a composite number as a product of its prime factors using index notation
Find the square root of a perfect square and the cube root of a perfect cube using prime factorisation
Find the smallest value of k that makes a given expression a perfect square or perfect cube
Find the highest common factor (HCF) of two or more numbers using prime factorisation
Find the lowest common multiple (LCM) of two or more numbers using prime factorisation
Apply HCF and LCM to solve real-life problems
Practise this chapter
Questions on Primes, HCF and LCM, marked as you go, with the working shown.