This study notes covers Finding Factors Systematically within Factors, Multiples & Primes for GCSE Mathematics. Revise Factors, Multiples & Primes in Number for GCSE Mathematics with 14 exam-style questions and 22 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 3 of 9 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Finding Factors Systematically
Example: Find all factors of 36
Method 1: Factor Pairs
- 1 × 36 = 36 → factors: 1, 36
- 2 × 18 = 36 → factors: 2, 18
- 3 × 12 = 36 → factors: 3, 12
- 4 × 9 = 36 → factors: 4, 9
- 6 × 6 = 36 → factor: 6
- Stop when factors start repeating
Answer: 1, 2, 3, 4, 6, 9, 12, 18, 36
Practice questions for Factors, Multiples & Primes
Which of these numbers is prime?
Explain why 51 is not a prime number.
Quick recall flashcards
Factor
A number that divides exactly into another number with no remainder.
Example: Factors of 12 are 1, 2, 3, 4, 6, 12
Multiple
A number in the times table of another number.
Example: Multiples of 5 are 5, 10, 15, 20, 25, 30...