What is a composite number?

A composite number is a natural number greater than 1 with more than two divisors.

Find all multiples of 40 that lie between 310 and 410.

Here, multiples of 40 are 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440 Hence, the multiples of 40 that lie between 310 and 410 are 320, 360 and 400.

What is the LCM of two numbers?

The LCM (Lowest Common Multiple) of two or more numbers is the smallest positive integer, a multiple of each number.

Find seven consecutive composite numbers between 1 and 100.

Let’s find the consecutive composite numbers between 89 and 97. Seven consecutive composite numbers between 1 and 100 are 90, 91, 92, 93, 94, 95, 96.

NCERT Solutions

Class 6

Maths

Chapter 5 Prime Time

NCERT Solutions Class 6 Maths Chapter 5 Prime Time

Q: What is a prime number?

A prime number is a natural number greater than 1 with only two distinct divisors: 1 and itself.

NCERT Solutions for Class 6 Maths Chapter 5 Prime Time are a valuable resource for students who want to score well in their exams. By using these solutions effectively, you can develop a strong foundation in prime numbers and prime factorization. These solutions cover all the exercises and examples in the NCERT textbook, ensuring you understand all the concepts thoroughly.

NCERT Solutions for Class 6 Maths Chapter 5 Prime Time

1.0NCERT Solutions Class 6 Maths Chapter 5 : Important Topics Covered

The NCERT Solutions for Class 6 Maths Chapter 5 Prime Time covers several important topics, including prime numbers, factorization, hcf, and lcm. They clearly and concisely explain these topics, making them invaluable student resources.

1. Prime Numbers:

Definition of prime numbers (numbers with only two distinct factors: 1 and itself)
Identification of prime numbers
Divisibility rules for 2, 3, 5, and 10 to help identify prime numbers

2. Prime Factorization: Prime factorization of a given number using the division method and the factor tree method.

3. Composite Numbers: Definition of composite numbers (numbers with more than two factors)

4. Factors and Multiples: Finding factors and multiples of a given number

5. Highest Common Factor (HCF): Finding the HCF of two or more numbers using prime factorization

6. Lowest Common Multiple (LCM): Finding the LCM of two or more numbers using prime factorization

2.0NCERT Solutions Class 6 Maths – Prime Time: Points to Remember

Prime Number: A natural number greater than 1 with only two distinct factors: 1 and itself. For example, prime numbers are 2, 3, 5, 7, 11, and 13.

Composite Number: A natural number greater than 1 with more than two factors. For example, 4, 6, 8, 9, 10, and 12 are composite numbers.

Factor: A whole number that divides another whole number exactly without leaving a remainder. For example, the factors of 6 are 1, 2, 3, and 6.

Multiple: A number obtained by multiplying a given number by any other whole number. For example, the multiples 3 are 3, 6, 9, 12, 15, and so on.

Prime Factorization: Expressing a composite number as a product of its prime factors. For example, the prime factorization 12 is 2 x 2 x 3.

Highest Common Factor (HCF): The largest number that divides two or more integers without leaving a remainder. For example, the HCF of 12 and 18 is 6.

Lowest Common Multiple (LCM): The smallest positive integer that is a multiple of two or more integers. For example, the LCM of 4 and 6 is 12.