Class 6 Maths - TAMILNADU

Number Play

The chapter 'Number Play' in Class 6 Mathematics under the Tamil Nadu Samacheer Kalvi syllabus introduces students to fascinating patterns and properties of numbers. It builds a strong foundation in number theory by exploring factors, multiples, prime and composite numbers, and divisibility tests. Students learn how numbers behave mathematically through playful investigations, which enhance mental math and problem-solving skills. For board exams, this chapter is crucial as it forms the basis for fractions, LCM, HCF, and algebraic thinking in higher classes, frequently appearing in both objective and short-answer questions.

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Key Concepts

Factors and Multiples

A factor is an exact divisor of a number, while a multiple is obtained by multiplying a number by an integer.

Prime and Composite Numbers

Prime numbers have only two factors (1 and themselves), whereas composite numbers have more than two factors.

Divisibility Tests

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

Highest Common Factor (HCF)

The greatest common divisor that divides two or more numbers without leaving a remainder.

Lowest Common Multiple (LCM)

The smallest positive number that is a multiple of two or more given numbers.

Important Formulas

HCF of two numbers × LCM of two numbers = Product of the two numbers
Divisibility by 2: Last digit must be 0, 2, 4, 6, or 8
Divisibility by 3: Sum of the digits must be a multiple of 3
Divisibility by 5: Last digit must be 0 or 5

Board Exam Info

In the Tamil Nadu (Samacheer Kalvi) Class 6 Mathematics exams, this chapter typically carries around 8 to 12 marks. Common question types include finding all factors of a number, checking divisibility tests for large numbers, prime factorization, and word problems involving LCM and HCF.

Frequently Asked Questions

Is number 1 a prime number or a composite number?

Number 1 is neither prime nor composite because it has only one factor (itself).

How can I easily remember the divisibility rule for 9?

Just like the rule for 3, add all the digits of the number. If the sum is divisible by 9, then the entire number is divisible by 9.

What is the difference between factors and multiples?

Factors are limited and exact divisors of a number (smaller or equal to the number), whereas multiples are infinite and obtained by multiplying the number by 1, 2, 3, etc. (greater than or equal to the number).

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