What Are Composite Numbers? Definition, Examples & Importance
A positive integer that can be generated by multiplying two smaller positive integers is a composite number. All composite numbers can be written as the product of two or more primes. For example, an integer 21 is a composite number as it is the product of the two smaller integers 3 and 7.
List of Composite Numbers from 1 to 100
The composite numbers up to 100 are listed below.
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.
There are 74 numbers between the 1 to 100 composite numbers.
Odd and Even Composite Numbers
Odd composite numbers are all the odd integers that are not prime.
9, 15, 21, 25, 27, etc, are examples of composite odd numbers.
The smallest odd composite number is 9.
Even composite numbers are all even numbers and are not prime.
4, 6, 8, 10, 12, 14, 16, etc. are examples of even composite numbers.
The smallest even composite number is 4.
Solved Problems on Composite Numbers
1: How Many Composite Numbers Are There Between 1 to 50?
Ans: There are 34 composite numbers between 1 to 50 which are as follows:
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.
2. What are the Composite Numbers from 1 to 100? Represent them on a Composite Number Chart.
Ans: There are 74 composite numbers up to 100 which are represented in the composite number chart as follows:
Here the numbers in red color are composite numbers up to 100.
3. Write the Smallest Odd Composite Number?
Ans: The smallest odd composite number is 9.
4. List the First Five Odd Composite Numbers.
Ans: The first five odd composite numbers are as follows: 9, 15, 21, 25, 27.
According to basic Math, composite numbers are those numbers that have more than two factors present. The composite numbers or what is also commonly called the composites are the opposite of prime numbers which consists of only two factors and no more than that. When we say two factors there will be 1 and the other number present. All those numbers that are not prime numbers will be categorized as composite numbers. For you to better understand composite numbers and how they are found, here is a List of Composite Numbers from 1 to 100 via Vedantu that you can access and learn more about. This helps you to understand the composite numbers and their purposes in various mathematical equations.
Properties of Composite Numbers That Distinguish Them From Other Numbers:
Composite numbers are only those numbers that have more than two factors.
Composite numbers are also considered to be evenly divisible by the set of factors.
It is seen that each of the composite numbers is a factor of itself apart from 1 being the common factor.
The smallest of all composite numbers is 4 as it is divisible by 1, 2, and 4.
Each of the composite numbers will consist of at least two prime numbers that act as its factors. For example, if you check the composite number 10 it will have 2 and 5 as the prime numbers where the product of both will provide 10.
FAQs on Composite Numbers from 1 to 100: Full List Explained
1. What is the list of 1 to 100 composite numbers?
The list of composite numbers from 1 to 100 includes all numbers between 1 and 100 that have more than two factors (divisors). These are the numbers greater than 1 that are not prime. The composite numbers in this range are:
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.
Each of these numbers can be factored into smaller integers, making them composite. This list can be useful for students learning about composite numbers in Vedantu’s interactive math classes.
2. What are examples of composite numbers?
Composite numbers are numbers that have more than two factors. For example:
- 4 (factors: 1, 2, 4)
- 6 (factors: 1, 2, 3, 6)
- 9 (factors: 1, 3, 9)
- 12 (factors: 1, 2, 3, 4, 6, 12)
3. How do I identify composite numbers?
To identify a composite number, check if the number has any divisors other than 1 and itself. In other words, if a number can be written as the product of two smaller natural numbers (both greater than 1), then it is composite.
For example:
- 8: 2 × 4 = 8, so it is composite.
- 15: 3 × 5 = 15, so it is composite.
4. How many composite numbers are there from 1 to 1000?
There are 753 composite numbers from 1 to 1000. This can be calculated by subtracting:
$998$ (the count of numbers from 2 to 1000) minus $168$ (the count of prime numbers between 1 and 1000), giving $998 - 168 = 830$. However, since number 1 is neither prime nor composite, the exact total of composite numbers between 1 and 1000 is 831 (excluding 1 and the 168 primes). Vedantu’s syllabus covers systematic methods for counting, identifying, and listing composite numbers for various ranges in math classes.
5. What are the properties of composite numbers?
Composite numbers have several key properties:
- They have more than two positive divisors.
- Every composite number can be written as a product of prime numbers (prime factorization).
- They are always greater than 1, and are not prime.
- All even numbers greater than 2 are composite.
- There is no largest composite number, as numbers continue infinitely.
6. Is 0 considered a composite number?
No, 0 is not considered a composite number. By definition, composite numbers are positive integers greater than 1 that have more than two factors. Zero does not fit this definition, and in Vedantu’s concept-based learning approach, students learn how 0 falls outside both prime and composite classifications.
7. What is the difference between composite and prime numbers?
Prime numbers have exactly two distinct factors: 1 and the number itself. Composite numbers have more than two factors. For example:
- Prime: 7 (factors: 1, 7)
- Composite: 12 (factors: 1, 2, 3, 4, 6, 12)
8. How can I find composite numbers between 50 and 100?
To find composite numbers between 50 and 100, identify numbers in this range that have more than two divisors. Some examples are:
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.
Vedantu’s structured practice worksheets and teacher-led sessions encourage learners to master such number ranges easily through step-by-step strategies.
9. What is the smallest composite number and why?
The smallest composite number is 4. This is because 4 has more than two factors (1, 2, and 4). Numbers smaller than 4 (like 2 and 3) only have two factors (themselves and 1), making them primes. Vedantu’s courses highlight the significance of 4 as the first composite number and provide interactive number theory exercises for better understanding.
