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NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.1)

FAQs on NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.1)

1. What are prime numbers and how are they different from composite numbers?
Ans. Prime numbers are positive integers greater than 1 that have no divisors other than 1 and itself. On the other hand, composite numbers are positive integers greater than 1 that have more than two divisors. The main difference between prime and composite numbers is the number of divisors they have.
2. How can we determine whether a given number is prime or composite?
Ans. To determine whether a given number is prime or composite, we can use the method of prime factorization. We divide the number by prime numbers starting from 2 until the quotient becomes 1. If the number can be divided evenly by any prime number, it is composite. Otherwise, it is prime.
3. Can a number be both prime and composite?
Ans. No, a number cannot be both prime and composite. By definition, prime numbers have exactly two divisors (1 and itself), while composite numbers have more than two divisors. Therefore, a number cannot satisfy both conditions simultaneously.
4. Is 1 considered a prime or a composite number?
Ans. 1 is not considered a prime number. By definition, prime numbers are positive integers greater than 1 that have exactly two divisors. Since 1 has only one divisor (itself), it does not meet the criteria to be classified as a prime number.
5. How can prime numbers be useful in cryptography?
Ans. Prime numbers play a crucial role in cryptography, particularly in the field of public-key cryptography. They are used to generate large prime numbers that are difficult to factorize, ensuring the security of encryption algorithms. The use of prime numbers in cryptography helps protect sensitive information and enables secure communication over insecure channels.
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