Year 7 - Maths
Checking understanding of prime numbers
Properties of number: factors, multiples, squares and cubes
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Study Guides
This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils develop their understanding of factors and multiples, then extend this knowledge to learn general divisibility tests for integers and develop strategies to determine the highest common factor and lowest common multiple of two or more integers.
Lesson Summary
You will learn to state the properties of a prime number and can identify prime numbers.
Key Notes
- Prime numbers all share the same properties.
- Prime numbers can be identified using factors.
- Prime numbers can be identified using multiples.
- The Sieve of Eratosthenes is an efficient method for finding primes.
Vocabulary To Learn
- Prime: A prime number is an integer greater than one with exactly two factors.
Common Mistakes To Avoid
- 1 is a prime number
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Prime numbers all share the same properties. Prime numbers can be identified using factors.
2. Use this key word in a maths sentence and explain it clearly. 'Prime'
A prime number is an integer greater than one with exactly two factors. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: 1 is a prime number. Correction: 1 is not a prime number as it only has one factor and a prime number has exactly two factors.
More Lessons In This Unit
- Calculating integers from their prime factor expressions Study Guide
- Checking understanding of factors, multiples, squares and cubes Study Guide
- Divisibility tests for 2 and 3 Study Guide
- Divisibility tests for 4 and 8 Study Guide
- Divisibility tests for 5 and 10 Study Guide
- Divisibility tests for 6 and 9 Study Guide
- Expressing an integer as a product of its prime factors Study Guide
- HCF or LCM Study Guide
- Highest common factor Study Guide
- Listing factors Study Guide
- Listing multiples Study Guide
- Lowest common multiple Study Guide
- Power notation Study Guide
- Powers and roots using a calculator Study Guide
- Problem solving with factors, multiples, squares and cubes Study Guide
- Securing understanding of factors, multiples, squares and cubes Study Guide
- Square and cube numbers Study Guide
- Square and cube roots Study Guide
Browse all guides in the Year 7 Maths guide library.