Mathematics - Class ...
Mathematics - Class 6
Topic outline
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Tags: What is the difference between a prime and composite number? What is a prime number? What is the smallest composite number? Is the number 100 prime or composite? Prime and Composite numbers chart for 6th grade, Prime and Composite numbers free worksheets PDF for class 6, List of composite numbers, Composite numbers examples for VI Class, Recognizing prime and composite numbers practice page, Co-prime numbers for sixth class, Fact about prime and composite number, Prime Number Chart, Composite Number Chart, Prime and Composite Number Chart (1 to 100), What are prime numbers? What are composite numbers? Write all the prime numbers from 1 to 50. Write the prime number between 60 and 90, Circle the prime numbers. Can there be any natural number that does not have factor at all? Write down 7 consecutive numbers which are not prime numbers. Express 31 as the sum of 3 odd prime numbers. What are co-prime numbers? Give example. Are all co-prime numbers are prime? Write two pair of prime numbers whose difference is 1.
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Prime and Composite Numbers
Prime Numbers
Let’s observe the factors of few natural numbers.
We can see that number 1 has only one factor (i.e. itself).There are numbers that have exactly two factors i.e.1 and the number itself. Such numbers are 2, 3, 5, etc. These numbers are prime numbers. A number is called prime when it can't be divided evenly by any number except 1 or itself.
Therefore, Prime numbers are natural numbers that have only 2 factors i.e. 1 and itself.
Example: 19
19 have only two factors, 1 and 19. 19 cannot be divided evenly by numbers other than 1 or itself. So, 19 is a prime number.
Co – Prime Numbers
The two numbers are said to be co-prime numbers when there is no number, other than 1, that divides both the two given number evenly. The HCF of these numbers should be 1.
Example: 6 and 35 are co-prime
Composite Numbers
Let’s observe factors of natural numbers again.
There are numbers having more than two factors like 4, 6, etc. These numbers are composite numbers. When a number can be divided up evenly it is a Composite Number. A composite number has factors in addition to one and itself.
Therefore, numbers having more than two factors are called Composite numbers.
Example: 15
15 have three factors, 1, 5 and 15. 15 can be divided evenly by numbers other than 1 or itself. So, 15 is a composite number.
Prime and Composite Number Chart (1 to 100)
1. 1 is neither a prime nor a composite number.
2. All the numbers in orange box are prime numbers. All the numbers in white box, other than 1 are composite numbers.
Important Notes:
1. The numbers 0 and 1 are neither prime nor composite.
2. Every prime number except 2 is odd.
3. HCF of two prime numbers is always 1
4. Even numbers are divisible by two and so all even numbers greater than two are composite numbers. Example: 2, 4, 6, 8, 10
5. 1 is co-prime with every number.
6. Every prime number is co-prime to each other. Example: 3 and 5
7. Any two successive numbers are always co-primes.
8. The sum two prime numbers can be even or odd.
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