Class 6 Maths - BIHAR

Prime Time

The chapter 'Prime Time' in Class 6 Mathematics introduces students to the fascinating world of numbers, specifically focusing on factors, multiples, prime numbers, and composite numbers. Students learn how to break down numbers into their building blocks using prime factorization, find the Highest Common Factor (HCF), and the Lowest Common Multiple (LCM). This chapter is crucial for the Bihar Board exams as it builds the foundational arithmetic skills required for solving complex fraction and algebra problems in higher classes. Mastering this chapter ensures students can easily tackle scoring questions related to divisibility tests and LCM-HCF word problems.

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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 Numbers

Numbers greater than 1 that have only two factors: 1 and the number itself, such as 2, 3, 5, and 7.

Composite Numbers

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

Prime Factorization

Expressing a composite number as the product of prime numbers, often using factor trees or division methods.

HCF and LCM

HCF is the greatest common factor between two numbers, while LCM is the smallest common multiple shared by them.

Important Formulas

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

Board Exam Info

In the Bihar Board Class 6 Mathematics examinations, this chapter typically carries around 6 to 8 marks. Common question types include finding the prime factorization of large numbers, calculating HCF and LCM using division or prime factorization methods, and word problems based on LCM and HCF.

Frequently Asked Questions

Is 1 a prime number?

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

What is the only even prime number?

The number 2 is the only even prime number because all other even numbers are divisible by 2 and thus have more than two factors.

How do I know whether to find HCF or LCM in word problems?

Use HCF when the question asks to divide items into equal groups or find the largest size possible. Use LCM when the question asks about events happening together or finding the smallest common time/quantity.

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