Class 6 Maths - MAHARASHTRA
Number Play
The chapter 'Number Play' in Class 6 Mathematics under the Maharashtra State Board (MSBSHSE) introduces students to the fascinating properties of numbers. It covers concepts like factors, multiples, prime and composite numbers, divisibility tests, and the Highest Common Factor (HCF) and Lowest Common Multiple (LCM). This chapter helps students build a strong foundation in arithmetic operations and number theory, which is essential for simplifying fractions and solving complex word problems in higher classes. Mastering this chapter ensures students can quickly spot patterns in numbers and score well in board-related assessments.
Start Learning FreeKey Concepts
Factors and Multiples
A factor is an exact divisor of a number, while a multiple is the product of that number and any whole number.
Prime and Composite Numbers
Prime numbers have only two factors (1 and the number itself), whereas composite numbers have more than two factors.
Divisibility Tests
Quick rules to check if a number is completely divisible by 2, 3, 4, 5, 9, 10, and 11 without performing actual division.
Highest Common Factor (HCF)
The greatest common divisor shared by two or more numbers, also known as the Greatest Common Divisor (GCD).
Lowest Common Multiple (LCM)
The smallest positive number that is a multiple of two or more given numbers.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 6 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include finding prime factorisation, testing numbers for divisibility, and calculating the HCF and LCM of given numbers using prime factorisation or the division method.
Frequently Asked Questions
Is the number 1 a prime or a composite number?
Neither! 1 is a unique number because it has only one factor (itself), so it is neither prime nor composite.
How can I easily remember the divisibility test for 11?
Subtract the sum of digits in even places from the sum of digits in odd places. If the result is 0 or a multiple of 11, the number is divisible by 11.
What is the difference between HCF and LCM?
HCF is the largest factor that divides two or more numbers evenly, while LCM is the smallest common multiple that those numbers can divide into evenly.
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