Swipe Up
Prakriti Dhodare |
Maths |
2023-09-05 |
null mins read
Our world can’t function without understanding the functionality of numbers. Introducing numbers to your kids at tender age is essential, but did you find an easy way yet? Do you believe that number concepts can help your children academically? Numbers are the basis of mathematics; various kinds of numbers exist in mathematics, such as natural, prime, odd, cardinal numbers, etc., which kids must comprehend. Let’s discuss the vital topic of composite numbers excitingly. It would help you to make numeric concepts easier for your kids to remember.
Composite numbers are those numbers that are divisible by a number other than one and the number itself. In other words, numbers opposite to prime numbers with more than two factors are called composite numbers.
In Mathematics, there are two types of composite numbers.
Odd composite numbers include all the odd integers that are not prime.
Examples of odd numbers are 9, 15, 21, 25, 27 etc.
Even composite numbers include all the even integers that are not prime.
Examples of odd numbers are 4, 6, 8, 10, 12, 14, 16, etc.
In mathematics, there are 74 composite numbers between 1 to 100. Here is the list of composite numbers.
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
We can understand that with the help of examples:
Example 1: What will be the HCF of two consecutive composite numbers, 4 and 6?
Solution: For the factorisation, we can write two numbers:
4= 2 x 2
6= 3 x 2
Now, we can see the highest common factor of 4 and 6 is 2.
Therefore, HCF(4,6)= 2, a prime number.
Example 2: What is the HCF of two composite numbers, 30 and 40?
Solution: For the factorisation, we can write two numbers:
30= 2 x 3 x 5
40= 2 x 2 x 2 x 5
Now, we can see the highest common factor of 30 and 40 is 2 and 5
HCF (30,40) = 2 x 5 = 10
Therefore, HCF (30,40)= 10, a composite number.
The HCF of two composite numbers can be a prime number or composite number.
Every composite number has more than two factors. For example:
Factors of 15 = 1, 3, 5 and 15
Factors of 21 = 1,3, 7 and 21
Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 44 = 1, 2, 4, 11, 22 and 44
Factors of 87 = 1, 3, 29 and 87
Factors of 63 = 1, 3, 7, 9, 21 and 63
Factors of 51 = 1, 3, 17 and 51
Factors of 98 = 1, 2, 7, 14, 49 and 98
Factors of 49 = 1, 7 and 49
Factors of 55 = 1, 5, 11 and 55
Prime Numbers and Composite Numbers
Any positive number or positive integer that does not have more than two factors other than 1 or the number itself defines Prime Numbers. Numbers with no decimal or fractional part, including positive, negative and zero, are called Integers. Suppose n is the prime number; its factors must be n and 1. If any number’s factor is more than 2, it is called a “Composite Number”.
There are 25 prime numbers between 1 to 100. The list of prime numbers is as follows:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Example: 11 is divisible only by 11, and 1 is a prime number.
Here are the simple steps to find the composite numbers:
1) Identify the positive integer factors.
2) If the number has factors such as 1 and the number itself, it is said to be a prime number.
3) If the number has more than two factors, it is a composite number.
Find if 22 is a composite number or a prime number.
22 ÷ 1 = 22
22 ÷ 2 = 11
22 ÷ 11 = 2
22 ÷ 22 = 1
As we can see, 22 has more than two factors, i.e., 22, 11, 2, and 1, so it is a composite number.
Find if 19 is a composite number or a prime number.
19 ÷ 1 = 19
19 ÷ 19 = 1
As we can see, 19 has only two factors, i.e., 19 and 1, so it is a prime number.
Answer: 1 is not a composite number. Every composite number has more than two factors, but 1 has only one factor, and that too is 1.
Answer: The smallest odd-compound number is 9. It is because 1, 2, 3, 5, and 7 are prime numbers, and 4, 6, and 8 are even composite numbers.
Answer: The positive integer 2 is not a composite number because it can be divided by only two factors, one and itself. Hence, 2 is a prime number.
Answer: 1 is neither a prime number nor a composite number. 1 has only one factor, which is 1.
Answer: No, not all even numbers are composite numbers. All the prime numbers are odd, barring 2. But all even numbers, excluding 2, are composite numbers. Two is the prime number as it has only two factors, which are 2 and 1.
Answer: 1 is the only number which is neither a prime nor a composite number. Because 1 has only one factor, which is 1 itself.
Answer: 4 is the smallest composite number. Moreover, 1 is neither a prime nor a composite number, and 2 and 3 are prime numbers.
Comments(0)
Admissions Open for 2025-26
Academics
Arts
Astronomy
Badminton
Basketball
CBSE Board
Chess
Child Learning
Children's Literature
Civics
Coding
Creativity
Cricket
Cycling
Dance
Days and Festival
English
Entertainment
Environmental Awareness
Famous Personalities
Featured Blogs
Football
Full Form
Geography
Health and Nutrition
Hindi
Hockey
Horticulture
Maths
Music
Parents Corner
Public Speaking
QnA
Recommended
Robotics
Science
Scientist and Their Inventions
Social Skills
Sports
Swimming
Taekwondo
Teacher's Corner
Theatre
CBSE Schools In Popular Cities
CBSE Schools in Bangalore
CBSE Schools in Mumbai
CBSE Schools in Pune
CBSE Schools in Hyderabad
CBSE Schools in Chennai
CBSE Schools in Gurgaon
CBSE Schools in Kolkata
CBSE Schools in Indore
CBSE Schools in Sonipat
CBSE Schools in Delhi
CBSE Schools in Rohtak
CBSE Schools in Bhopal
CBSE Schools in Aurangabad
CBSE Schools in Jabalpur
CBSE Schools in Jaipur
CBSE Schools in Jodhpur
CBSE Schools in Nagpur
CBSE Schools in Ahmednagar
CBSE School In Tumkur
Speak Your Mind
Save my name, email and website in this browser for next time I comment