Worksheet: Playing with Numbers - 1

# Playing with Numbers - 1 Class 6 Worksheet Maths

### Q1: Fill ups:

(i) The numbers which have more than two factors are called ________.

(ii) The numbers which are not multiples of 2 are known as ________.

(iii) The two numbers which have only 1 as their common factor are called _________.

(iv) The number which is neither prime nor composite is _____.

(v) Every number is a ________ and ________ of itself.

### Q2: True or False:

(i) The sum of three odd numbers is even.

(ii) The sum of two odd numbers and one even number is even.

(iii) The product of three odd numbers is odd.

(iv) If an even number is divided by 2, the quotient is always odd.

(v) All prime numbers are odd.

(vi) Prime numbers do not have any factors.

(vii) Sum of two prime numbers is always even.

(viii) 2 is the only even prime number.

(ix) All even numbers are composite numbers.

(x) The product of two even numbers is always even.

### Q3: Answer the following Questions.

(i) Find all the multiple of 13 up to 100.

(ii) Write all the factors of 120.

(iii) Circle the numbers below which are multiples of 45.

(iv) The numbers 13 and 31 are prime numbers. Both these numbers have same digits 1 and 3. Find such pairs of prime numbers up to 100.

(v) Write down separately the prime and composite numbers less than 20.

(vi) What is the greatest prime number between 1 and 10?

(vii) Express the following as the sum of two odd primes.
(a) 44
(b) 36
(c) 24
(d) 18

(viii) Write seven consecutive composite numbers less than 100 so that there is no prime number between them.

(ix) Write a digit in the blank space of each of the following numbers so that the number formed is divisible by 11:
(a) 92 ___ 389
(b) 8 ___9484

(x) A number is divisible by both 5 and 12. By which other number will that number be always divisible?

(xi) A number is divisible by 12. By what other number will that number be divisible?

(xii) The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.

(xiii) The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.

(xiv) Determine if 25110 is divisible by 45.
[Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9].

You can find Worksheets Solutions here: Worksheet Solutions: Playing with Numbers - 1

The document Playing with Numbers - 1 Class 6 Worksheet Maths is a part of the Class 6 Course Mathematics (Maths) Class 6.
All you need of Class 6 at this link: Class 6

## Mathematics (Maths) Class 6

134 videos|325 docs|42 tests

## FAQs on Playing with Numbers - 1 Class 6 Worksheet Maths

 1. What are prime numbers?
Ans. Prime numbers are positive integers greater than 1 that have no positive divisors other than 1 and itself. For example, 2, 3, 5, 7, 11, and 13 are prime numbers.
 2. How can I determine if a number is prime?
Ans. To determine if a number is prime, you can check if it is divisible by any number less than its square root. If it is not divisible by any of these numbers, then it is a prime number. For example, to check if 13 is prime, you only need to check if it is divisible by numbers up to its square root, which is approximately 3.6.
 3. What is the difference between a prime number and a composite number?
Ans. A prime number is a positive integer greater than 1 that has no divisors other than 1 and itself. On the other hand, a composite number is a positive integer greater than 1 that has divisors other than 1 and itself. In simpler terms, prime numbers cannot be divided evenly by any other number except 1 and itself, while composite numbers can be divided evenly by at least one other number.
 4. Are there infinitely many prime numbers?
Ans. Yes, there are infinitely many prime numbers. This was proven by the ancient Greek mathematician Euclid around 300 BCE. Euclid's proof, known as Euclid's theorem, states that if you take any finite list of prime numbers and multiply them together, then add 1 to the result, the new number will either be prime itself or divisible by a prime number not in the original list. Therefore, there must always be more prime numbers to be discovered.
 5. How are prime numbers used in cryptography?
Ans. Prime numbers play a crucial role in many cryptographic algorithms, such as RSA encryption. In RSA encryption, the security of the algorithm relies on the difficulty of factoring large composite numbers into their prime factors. By using large prime numbers as the basis for encryption keys, it becomes computationally infeasible for an attacker to factorize these numbers and decrypt the encrypted data. Prime numbers provide the foundation for secure communication and data protection in modern cryptography.

## Mathematics (Maths) Class 6

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