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Chapter Analysis
Beginner10 pages • EnglishQuick Summary
This chapter focuses on the concepts of multiples and factors, using playful activities and exercises to explore these mathematical properties. Children learn to identify common multiples and factors through engaging puzzles and games, reinforcing their understanding of the relationships between numbers. The chapter includes practical examples and encourages students to create and solve their own problems around multiples and factors.
Key Topics
- •Multiples and their identification
- •Factors and prime factors
- •Common multiples and least common multiple (LCM)
- •Factor trees for factorization
- •Practical applications of multiples and factors
- •Creating and solving puzzles with multiples and factors
Learning Objectives
- ✓Understand and identify multiples of a given number.
- ✓Recognize and list the factors of a number.
- ✓Use factor trees to determine prime factorization.
- ✓Identify common factors and use them in problem-solving.
- ✓Apply the concept of common multiples in real-life scenarios.
- ✓Develop problem-solving skills using mathematical games and puzzles.
Questions in Chapter
Find out whether the mouse can get away safely?
Page 87
Complete the table for different numbers of bangles. For each number see what different groups can be made.
Page 94
What are the factors of 36?
Page 95
In how many ways can you draw a factor tree for 24? Draw three of them below.
Page 96
Try drawing the factor tree using other numbers also.
Page 96
What common multiples of 4, 6, and 5? What is the smallest common multiple?
Page 91
Additional Practice Questions
How do you identify if a number is a multiple of 5?
easyAnswer: A number is a multiple of 5 if its last digit is either 0 or 5.
List all the factors of 84.
mediumAnswer: The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
What is a factor tree, and how can it be used to find factors?
mediumAnswer: A factor tree is a diagram used to find the prime factors of a number. By repeatedly breaking down a composite number into two factors, this process continues until all branches end in a prime number.
Why are common multiples useful in real-life situations?
hardAnswer: Common multiples are useful in real-life situations such as scheduling, organizing events, and optimizing resources where cycles or patterns repeat at common intervals.
Describe a method for finding the least common multiple (LCM) of two numbers.
hardAnswer: To find the LCM of two numbers, list the multiples of both numbers and identify the smallest multiple that is common to both lists. Alternatively, use the prime factorization method to determine the LCM by taking the highest power of each prime present in the numbers.