Year 7 - Maths
Securing understanding of factors, multiples, squares and cubes
Properties of number: factors, multiples, squares and cubes
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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 use the multiplication tables to identify factors and multiples.
Key Notes
- Multiplication tables can be used to find multiples of a number.
- Multiplication tables can be used to find factor pairs of a number.
- Multiplication tables can be used to identify multiples of a number.
- Multiplication tables can be used to identify factors of a number.
Vocabulary To Learn
- Multiple: A multiple is the product of a number and an integer.
- Numerical factor: A numerical factor is a factor that is an integer.
Common Mistakes To Avoid
- All factors of all integers will appear in a 12 by 12 times table grid.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplication tables can be used to find multiples of a number. Multiplication tables can be used to find factor pairs of a number.
2. Use this key word in a maths sentence and explain it clearly. 'Multiple'
A multiple is the product of a number and an integer. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: All factors of all integers will appear in a 12 by 12 times table grid. Correction: It is not possible to identify all factors of 24 using a 12 by 12 times table grid.
More Lessons In This Unit
- Calculating integers from their prime factor expressions Study Guide
- Checking understanding of factors, multiples, squares and cubes Study Guide
- Checking understanding of prime numbers 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
- Square and cube numbers Study Guide
- Square and cube roots Study Guide
Browse all guides in the Year 7 Maths guide library.