Class 6 Maths - TELANGANA

Prime Time

The chapter 'Prime Time' in Class 6 Mathematics introduces Telangana State Board (TSBSE) students to the fascinating world of numbers, focusing specifically on factors, multiples, prime numbers, and composite numbers. Students learn foundational divisibility rules that make number manipulation easier and faster. This chapter also covers the Highest Common Factor (HCF) and Lowest Common Multiple (LCM), teaching methods like prime factorization to find them. Mastering these concepts is crucial for board exams because they form the base for advanced arithmetic, fractions, and algebra in higher classes, frequently appearing in both short-answer and problem-solving sections.

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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 a remainder.

Multiples

A multiple of a number is obtained by multiplying that number by any whole number (1, 2, 3, etc.).

Prime Numbers

Numbers greater than 1 that have only two distinct factors: 1 and the number itself.

Composite Numbers

Numbers greater than 1 that have more than two factors, meaning they can be divided by numbers other than 1 and themselves.

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 common multiple of two or more given numbers.

Important Formulas

Product of two numbers = HCF × LCM of the two numbers
Divisibility by 2: A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.
Divisibility by 3: A number is divisible by 3 if the sum of its digits is a multiple of 3.

Board Exam Info

In the Telangana (TSBSE) Class 6 Mathematics exams, this chapter typically carries around 6 to 8 marks. Questions usually include finding factors and multiples, testing divisibility rules, prime factorization, and calculating HCF and LCM using prime factorization or division methods.

Frequently Asked Questions

Is the number 1 a prime number?

No, 1 is neither prime nor composite because it has only one factor (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 can I easily remember divisibility rules for 5 and 10?

A number is divisible by 5 if its last digit is 0 or 5. A number is divisible by 10 only if its last digit is 0.

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