GCSE Maths Factors, Multiples, Primes and Powers: lesson and practice questions

By the end of this chapter you will be able to

• List multiples and factors and use divisibility tests
• Recognise prime numbers and write a number as a product of prime factors
• Find the HCF and LCM using lists, prime factors and Venn diagrams
• List outcomes systematically and use the product rule for counting
• Use squares, cubes and roots, and recognise the powers of 2, 3, 4 and 5
• Use the laws of indices, including zero and negative indices
• Estimate roots and powers, and use a calculator for them

You should already know

• Times tables up to 12 × 12
• Multiplying and dividing whole numbers (Chapter 1)
• The order of operations, BIDMAS (Chapter 1)

Where this leads

• Simplifying fractions and adding fractions (Chapter 3)
• Standard form, fractional indices and surds (Chapter 6)
• Index laws in algebra (Chapter 7)
• Counting outcomes in probability (Chapter 23)