Prime Time Class 6 Case Study Questions Maths Chapter 5

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Last Updated on December 14, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 6 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 6 maths. In this article, you will find case study questions for CBSE Class 6 Maths Chapter 5 Prime Time. It is a part of Case Study Questions for CBSE Class 6 Maths Series.

Chapter	Prime Time
Type of Questions	Case Study Questions
Nature of Questions	Competency Based Questions
Board	CBSE
Class	6
Subject	Maths
Useful for	Class 6 Studying Students
Answers provided	Yes
Difficulty level	Mentioned
Important Link	Class 6 Maths Chapterwise Case Study

Case Study Questions on Prime Time

Questions

In a school library, there are 780 books of English and 364 books of Science. Ms. Yakang, the librarian of the school wants to store these books in shelves such that each shelf should have the same number of books of each subject

Q. 1. What is the prime factorisation of 780 and 364.?

Ans. Factors of 780= 2 × 2 × 3 × 5 × 13
And 364 = 2 × 2 × 7 × 13

Q. 2. What should be the minimum number of books in each shelf?

Ans. By given value in school library
Factorisation of 780 = 2 × 2 × 3 × 5 × 13
And 364 = 2 × 2 × 7 × 13
The common factors are 2 × 2 × 13 = 52
So, the minimum number of books in each shelf is 52.

Q. 3. How many factors are common in 780 and 364.?

Ans. Common factors are 2 and 13
So, there are two common factors.

Topics from which case study questions may be asked

• Factors and Multiples
• Prime Factorisation

Case study questions from the above given topic may be asked.

Learning Objectives

• Find out what the factors and multiples of a given number are.
• Find out the common factors and multiples of given numbers and learn about co-prime numbers.
• Do prime factorisation of a number.

Understanding Prime Time

• Factor: A factor of a number is an exact divisor of that number.
• Multiple: A multiple of a number is what you get when you multiply that number by any whole number, like 1, 2, 3, and so on.

Various types of numbers:

(i) Even number: All multiples of 2 are called even numbers.
(ii) Odd number: Numbers which are not multiples of 2 are called odd numbers.
(iii) Prime numbers: Each of the numbers which have exactly two factors namely, 1 and the number itself, are called prime numbers.
(iv) Composite numbers: The numbers having more than two factors are known as composite numbers.
(v) Twin prime: Two consecutive odd prime numbers are known as twin prime.
(vi) Prime triplet: A set of three consecutive prime numbers, differing by 2, is called a prime triplet. The only prime triplet is (3, 5, 7).
(vii) Co-primes: Two numbers are said to be co-prime if they do not have a common factor other than 1. e.g., (2, 3), (3, 4), (4, 5) etc. Any two prime numbers are always co-prime but the converse is not always true i.e., both the co-prime numbers need not be prime.
(viii) Perfect numbers: If the sum of all the factors of a number is two times the number, then the number is called a perfect number.
(ix) Common Factors and Multiples: Some numbers may be having common factors and multiples between them. Two numbers having only 1 as a common factor are called co-prime numbers.

• A factor of a number is an exact divisor of that number.
• 1 is a factor of every number and every number is a factor of itself.
• Every factor is less than or equal to the given number.

Frequently Asked Questions (FAQs) on Prime Time Case Study