Class 6 Maths - WEST-BENGAL

Prime Time

The Chapter 'Prime Time' in Class 6 Mathematics under the West Bengal Board of Secondary Education (WBBSE) 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 prime components and understand fundamental divisibility rules. This chapter builds a strong foundation for higher-level arithmetic, fractions, and algebra, making it extremely important for scoring well in school examinations and competitive tests.

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Key Concepts

Factors

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

Multiples

A multiple of a number is obtained by multiplying it by any whole number.

Prime Numbers

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

Composite Numbers

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

Co-prime Numbers

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

Prime Factorisation

The process of expressing a composite number as a product of prime numbers.

Important Formulas

Every composite number can be uniquely expressed as a product of prime numbers.
HCF of two co-prime numbers is always 1.
LCM of two co-prime numbers is equal to their product.

Board Exam Info

In the West Bengal (WBBSE) Class 6 Mathematics examinations, this chapter typically carries around 6 to 10 marks. Common question types include finding prime and composite numbers within a given range, testing divisibility rules, writing prime factorisation using factor trees, and solving short word problems based on factors and multiples.

Frequently Asked Questions

Is the number 1 a prime number?

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

What is the only even prime number?

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

How can I easily find prime numbers up to 100?

You can use the ancient method called the Sieve of Eratosthenes, where you cross out all the composite numbers in a 1 to 100 grid to leave only the primes.

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