Class 6 Maths - GUJARAT

Number Play

The Chapter 'Number Play' in Class 6 Mathematics introduces students to the fascinating world of numbers, patterns, and properties in the GSEB curriculum. It helps learners explore interesting facts about numbers, such as factors, multiples, prime and composite numbers, and divisibility rules. This chapter builds a strong foundation in arithmetic thinking, which is crucial for solving complex mathematical problems. Understanding these properties makes calculations easier and faster. In board exams and school assessments, questions from this chapter test logical reasoning and numerical fluency, making it an essential scoring area for students.

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Key Concepts

Factors

A factor of a number is an exact divisor of that number, meaning it divides the number completely without leaving any remainder.

Multiples

A multiple of a number is obtained by multiplying it by any natural number like 1, 2, 3, and so on.

Prime and Composite Numbers

Prime numbers have only two factors (1 and the number itself), while composite numbers have more than two factors.

Divisibility Rules

Shortcuts to check if a number is divisible by 2, 3, 4, 5, 6, 8, 9, 10, and 11 without doing actual division.

Co-prime Numbers

Two numbers are said to be co-prime if they do not have any common factor other than 1.

Important Formulas

Every number is a factor of itself and 1 is a factor of every number.
Every number is a multiple of itself.
The number of factors of a given number is finite, but multiples are infinite.
LCM × HCF = Product of the two given numbers

Board Exam Info

In Gujarat (GSEB) Class 6 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include finding factors and multiples, testing divisibility rules, identifying prime and composite numbers, and word problems involving LCM and HCF.

Frequently Asked Questions

Is 1 a prime number?

No, 1 is neither prime nor composite because it has only one factor (itself).

How do we know if a big number is divisible by 3?

Add all the digits of the number. If the sum is a multiple of 3, then the whole number is divisible by 3.

What is the smallest prime number?

The smallest prime number is 2, and it is also the only even prime number.

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