NCERT Solution: Playing With Numbers (Ex- 3.4)

# NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.4)

## FAQs on NCERT Solutions for Class 5 EVS - Playing With Numbers (Ex- 3.4)

 1. How do I solve problems involving prime numbers?
Ans. To solve problems involving prime numbers, you need to understand the concept of prime numbers and their properties. Prime numbers are numbers that are divisible only by 1 and themselves. To solve problems, you can use various techniques such as prime factorization, Sieve of Eratosthenes, or checking divisibility rules. Practice solving different types of prime number problems to enhance your skills.
 2. Can you explain the concept of HCF and LCM?
Ans. HCF (Highest Common Factor) is the largest number that divides two or more numbers without leaving a remainder. LCM (Least Common Multiple) is the smallest multiple that is divisible by two or more numbers. To find the HCF, you can use methods like prime factorization or division method. To find the LCM, you can use methods like prime factorization or listing multiples. Understanding these concepts is crucial in solving problems related to factors and multiples.
 3. How can I determine if a number is a perfect square?
Ans. A number is a perfect square if it is the square of an integer. To determine if a number is a perfect square, you can take its square root. If the square root is a whole number, then the original number is a perfect square. For example, the square root of 25 is 5, which is a whole number, so 25 is a perfect square. You can also use the prime factorization method to check if a number has an even power of prime factors.
 4. What are the divisibility rules for numbers?
Ans. Divisibility rules are helpful in quickly determining if a number is divisible by another number without performing the division operation. Some common divisibility rules are: - A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). - A number is divisible by 3 if the sum of its digits is divisible by 3. - A number is divisible by 5 if its last digit is 0 or 5. - A number is divisible by 9 if the sum of its digits is divisible by 9. By applying these rules, you can easily check the divisibility of numbers and solve related problems.
 5. How can I find the next prime number after a given number?
Ans. To find the next prime number after a given number, you can start checking numbers incrementally after the given number. Test each number for primality by dividing it with prime numbers smaller than its square root. If it is not divisible by any prime numbers, then it is a prime number. Keep incrementing and testing until you find the next prime number. This process can be continued to find prime numbers after any given number.
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