Class 6 Maths - MAHARASHTRA
Prime Time
The chapter 'Prime Time' in Class 6 Mathematics under the Maharashtra State Board (MSBSHSE) introduces students to the fascinating world of numbers, focusing on factors, multiples, prime numbers, and composite numbers. Students learn the foundational concepts of divisibility tests, finding the Highest Common Factor (HCF), and the Lowest Common Multiple (LCM). This chapter is extremely important for board exam preparation as it builds the core arithmetic skills required for simplifying fractions and solving complex word problems in higher classes.
Start Learning FreeKey Concepts
Factors
A factor of a number is an exact divisor of that number. For example, 1, 2, 3, and 6 are factors of 6.
Multiples
A multiple of a number is obtained by multiplying it by any natural number. For example, the multiples of 4 are 4, 8, 12, 16, and so on.
Prime Numbers
Numbers greater than 1 that have only two factors: 1 and the number itself. Examples include 2, 3, 5, 7, and 11.
Composite Numbers
Numbers having more than two factors are called composite numbers. Examples include 4, 6, 8, 9, and 10.
Highest Common Factor (HCF)
The greatest common divisor of two or more numbers, also known as the Greatest Common Divisor (GCD).
Lowest Common Multiple (LCM)
The smallest common multiple of two or more given numbers.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 6 Mathematics exams, this chapter typically carries around 6 to 8 marks. Common question types include finding prime and composite numbers within a range, applying divisibility tests, finding the HCF and LCM using prime factorization, and word problems based on LCM and HCF.
Frequently Asked Questions
Is the number 1 a prime number or a composite number?
Number 1 is neither prime nor composite because it has only one factor, which is 1 itself.
What is the only even prime number?
2 is the only even prime number. All other even numbers are composite because they are divisible by 2.
How do I easily find the HCF and LCM?
You can find HCF and LCM using the prime factorization method by breaking down the given numbers into their prime factors.
Learn Prime Time with Your AI Tutor
10 different ways to study this chapter. Free for 3 chapters per day.
Lecture
Key Points
Interactive
Quiz
Flashcards