Class 6 Maths - KARNATAKA

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 will learn methods like sieve of Eratosthenes to find prime numbers, and understand tests of divisibility which make calculations easier. This chapter forms the absolute foundation for higher-level mathematics, especially when dealing with fractions, LCM, and HCF. In the Karnataka (KSEEB) board exams, questions from this chapter consistently appear as short-answer problems, factor tree completions, and divisibility checks, carrying around 5 to 8 marks.

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Key Concepts

Factors

A factor of a number is an exact divisor of that number which divides it 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 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.

Co-prime Numbers

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

Important Formulas

A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.
A number is divisible by 3 if the sum of its digits is a multiple of 3.
A number is divisible by 5 if its last digit is 0 or 5.
A number is divisible by 10 if its last digit is 0.

Board Exam Info

In the Karnataka (KSEEB) Class 6 Mathematics exams, this chapter generally carries about 5 to 8 marks. Common question types include finding all factors of a given number, testing divisibility for large numbers, writing prime numbers between a given range, and expressing a composite number as a product of prime factors using factor trees.

Frequently Asked Questions

Is 1 a prime number or a composite number?

1 is neither prime nor composite because it has only one factor, which is 1 itself.

What is the only even prime number?

2 is the only even prime number. All other even numbers are divisible by 2 and thus composite.

How can I easily check if a big number is divisible by 4?

A number is divisible by 4 if the number formed by its last two digits (tens and units) is divisible by 4.

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