Class 4 Exam > Class 4 Notes > Year 4 Mathematics IGCSE (Cambridge) > Chapter Notes: Multiplication, Multiples and Factors
Multiplication, Multiples and Factors Chapter Notes | Year 4 Mathematics IGCSE (Cambridge) - Class 4 PDF Download
Tables, multiples and factors
- Focuses on understanding multiplication tables, recognizing and finding multiples, and identifying factors of whole numbers.
- Extends knowledge of multiplication facts to include the 7 times table.
- Arrays are used to visualize multiplication facts, representing numbers as rows and columns (e.g., a 3 × 5 array represents 15, showing 3 and 5 as factors).
- Arrays are observable in real-life contexts, such as chocolate bars divided into pieces.
- Factors are numbers that divide another number exactly without a remainder (e.g., 3 and 5 are factors of 15 because 3 × 5 = 15).
- Multiples are the results of multiplying a number by whole numbers (e.g., multiples of 7 include 7, 14, 21, 28, …).
- Example: For a chocolate bar with 24 pieces:
- Factors of 24 are found by identifying all pairs of numbers whose product is 24:
- 1 × 24 = 24
- 2 × 12 = 24
- 3 × 8 = 24
- 4 × 6 = 24
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
- Factors of 24 are found by identifying all pairs of numbers whose product is 24:
- Methods to find factors include:
- Rectangular arrangements: Draw arrays to show factor pairs (e.g., 4 × 6 or 2 × 12 for 24).
- Factor bug: List factor pairs in order starting from 1, ensuring the product is the target number.
- Multiplication facts: Record all pairs of numbers that multiply to the target (e.g., 1 × 24, 2 × 12, etc.).
- Multiplication and division are inverse operations:
- Example: 21 ÷ 7 = 3 because 3 × 7 = 21.
- 21 is a multiple of 7, and 7 is a factor of 21.
- Key terminology:
- Array: A rectangular arrangement of objects representing multiplication.
- Factor: A number that divides another number exactly.
- Inverse operations: Operations that undo each other (e.g., multiplication and division).
- Multiple: The product of a number and a whole number.
- Product: The result of multiplication.
5.2 Multiplication
- Focuses on multiplying whole numbers by a 1-digit number, using the associative law, estimating answers, and applying various methods.
- Associative law: Multiplication can be performed in any order (e.g., (a × b) × c = a × (b × c)), allowing numbers to be grouped flexibly.
- Students are encouraged to estimate the answer first to check if the result is reasonable.
- Example: Calculate 18 × 5using factors:
- 18 = 9 × 2
- 18 × 5 = 9 × 2 × 5
- 2 × 5 = 10, so 9 × 10 = 90
- Answer: 90
- Example: Calculate 27 × 4:
- Estimate: 30 × 3 = 90, 30 × 4 = 120, so the answer is between 90 and 120.
- Mental method:
- Decompose 27: 27 = 20 + 7
- 20 × 4 = 80
- 7 × 4 = 28
- 80 + 28 = 108
- Grid method:
- Decompose 27 into 20 and 7, multiply by 4:
- 20 × 4 = 80, 7 × 4 = 28
- 80 + 28 = 108
- Expanded method:
- 7 × 4 = 28
- 20 × 4 = 80
- 80 + 28 = 108
- Compact method(standard written method with carrying):
- 7 × 4 = 28 (write 8, carry 2 tens)
- 20 × 4 = 80, 80 + 20 = 100 (write 0, carry 1 hundred)
- 100 + 8 = 108
- Answer: 108
- Key terminology:
- Associative law: The property that allows multiplication to be performed in any order.
- Carry: Transferring a value to the next place value during multiplication.
- Methods can be extended to multiply larger numbers or by 2-digit numbers, with the grid method being particularly scalable.
The document Multiplication, Multiples and Factors Chapter Notes | Year 4 Mathematics IGCSE (Cambridge) - Class 4 is a part of the Class 4 Course Year 4 Mathematics IGCSE (Cambridge).
All you need of Class 4 at this link: Class 4
|
78 docs|20 tests
|
FAQs on Multiplication, Multiples and Factors Chapter Notes - Year 4 Mathematics IGCSE (Cambridge) - Class 4
| 1. What are the differences between factors and multiples? |  |
Ans. Factors are numbers that can be divided into another number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. Multiples, on the other hand, are the result of multiplying a number by an integer. For instance, the multiples of 3 are 3, 6, 9, 12, 15, etc. Essentially, factors are what you multiply to get a number, while multiples are what you get when you multiply a number.
| 2. How can I find the least common multiple (LCM) of two numbers? | |
Ans. To find the least common multiple (LCM) of two numbers, you can use several methods. One common method is to list the multiples of each number until you find the smallest multiple they have in common. Alternatively, you can use the prime factorization method. Factor both numbers into their prime factors, then take the highest power of each prime that appears in either factorization and multiply them together to find the LCM.
| 3. What is the greatest common factor (GCF) and how do I calculate it? | |
Ans. The greatest common factor (GCF) is the largest number that can divide two or more numbers without leaving a remainder. To calculate it, you can list the factors of each number and identify the largest one they have in common. Another method is to use prime factorization: factor each number into primes, then multiply the lowest powers of all prime factors common to both numbers.
| 4. How do I create a multiplication table and why is it useful? | |
Ans. To create a multiplication table, start by writing numbers 1 through 10 (or more) along the top and left side of a grid. Then, fill in the table by multiplying the number from the top row by the number from the left column. Multiplication tables are useful for quick reference and help reinforce multiplication skills, making it easier to solve problems involving larger numbers.
| 5. Why are multiples important in everyday life? | |
Ans. Multiples are important in everyday life because they help in various practical situations, such as calculating time, money, and measurements. For example, knowing multiples can assist in determining how many items can fit in a certain space, understanding schedules (like bus or train times), and budgeting (like calculating total costs based on unit prices). Understanding multiples also lays the groundwork for more advanced math concepts.
About this Document
4.65/5
Rating
Sep 19, 2025
Last updated
Document Description: Chapter Notes: Multiplication, Multiples and Factors for Class 4 2025 is part of Year 4 Mathematics IGCSE (Cambridge) preparation.
The notes and questions for Chapter Notes: Multiplication, Multiples and Factors have been prepared according to the Class 4 exam syllabus. Information about Chapter Notes: Multiplication, Multiples and Factors covers topics
like Tables, multiples and factors, 5.2 Multiplication and Chapter Notes: Multiplication, Multiples and Factors Example, for Class 4 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Chapter Notes: Multiplication, Multiples and Factors.
Introduction of Chapter Notes: Multiplication, Multiples and Factors in English is available as part of our Year 4 Mathematics IGCSE (Cambridge)
for Class 4 & Chapter Notes: Multiplication, Multiples and Factors in Hindi for Year 4 Mathematics IGCSE (Cambridge) course.
Download more important topics related with notes, lectures and mock test series for Class 4
Exam by signing up for free. Class 4: Multiplication, Multiples and Factors Chapter Notes | Year 4 Mathematics IGCSE (Cambridge) - Class 4
Description
Full syllabus notes, lecture & questions for Multiplication, Multiples and Factors Chapter Notes | Year 4 Mathematics IGCSE (Cambridge) - Class 4 - Class 4 | Plus excerises question with solution to help you revise complete syllabus for Year 4 Mathematics IGCSE (Cambridge) | Best notes, free PDF download
Information about Chapter Notes: Multiplication, Multiples and Factors
In this doc you can find the meaning of Chapter Notes: Multiplication, Multiples and Factors defined & explained in the simplest way possible. Besides explaining types of
Chapter Notes: Multiplication, Multiples and Factors theory, EduRev gives you an ample number of questions to practice Chapter Notes: Multiplication, Multiples and Factors tests, examples and also practice Class 4
tests
Related Searches
Extra Questions
,Exam
,Sample Paper
,Multiplication
,video lectures
,Summary
,past year papers
,Multiples and Factors Chapter Notes | Year 4 Mathematics IGCSE (Cambridge) - Class 4
,Viva Questions
,Multiplication
,Multiples and Factors Chapter Notes | Year 4 Mathematics IGCSE (Cambridge) - Class 4
,Important questions
,practice quizzes
,shortcuts and tricks
,Multiples and Factors Chapter Notes | Year 4 Mathematics IGCSE (Cambridge) - Class 4
,Free
,Multiplication
,Semester Notes
,mock tests for examination
,study material
,MCQs
,Objective type Questions
,Previous Year Questions with Solutions
,ppt
;
Additional Information about Chapter Notes: Multiplication, Multiples and Factors for Class 4 Preparation
Chapter Notes: Multiplication, Multiples and Factors Free PDF Download
The Chapter Notes: Multiplication, Multiples and Factors is an invaluable resource that delves deep into the core of the Class 4 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Chapter Notes: Multiplication, Multiples and Factors now and kickstart your journey towards success in the Class 4 exam.
Importance of Chapter Notes: Multiplication, Multiples and Factors
The importance of Chapter Notes: Multiplication, Multiples and Factors cannot be overstated, especially for Class 4 aspirants.
This document holds the key to success in the Class 4 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Chapter Notes: Multiplication, Multiples and Factors
Chapter Notes: Multiplication, Multiples and Factors Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Chapter Notes: Multiplication, Multiples and Factors.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Chapter Notes: Multiplication, Multiples and Factors Notes on EduRev are your ultimate resource for success.
Chapter Notes: Multiplication, Multiples and Factors Class 4 Questions
The "Chapter Notes: Multiplication, Multiples and Factors Class 4 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 4 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Chapter Notes: Multiplication, Multiples and Factors on the App
Students of Class 4 can study Chapter Notes: Multiplication, Multiples and Factors alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Chapter Notes: Multiplication, Multiples and Factors,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Chapter Notes: Multiplication, Multiples and Factors is prepared as per the latest Class 4 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup