Composite Numbers
WHAT IS COMPOSITE NUMBER?
A composite number is a positive integer that can be formed by multiplying two small positive integers. In maths, composite numbers are the type of natural numbers that have more than two factors.
COMPOSITE NUMBER DEFINITION
The natural numbers that are not prime numbers are called composite numbers.
Example: 4, 6, 8, 9, 12 have more than two factors, So, they are the composite numbers.
TYPES OF COMPOSITE NUMBERS
There are two types of composite numbers. They are as follows,
- Even composite number
- Odd composite number
- Even composite number: All even numbers that are not prime are called even composite numbers.
4, 6, 8, 10, 12, 14 are examples of composite even numbers.
- Odd composite number: All odd numbers that are not prime are called even composite numbers.
9, 15, 21 are examples of composite odd numbers.
SMALLEST COMPOSITE NUMBER
1 is not a composite number because it has only one divisor 1. 2 and 3 have only two factors one and itself. In the case of 4, there are more than two factors. The factors of 4 are 1, 2, and 4. So, the smallest composite number is 4.
NOTE:
- 1 is neither a prime nor a composite number.
- The smallest prime number is 2.
- The smallest odd composite number is 9.
- The two-digit smallest composite number is 12.
- Three digits smallest composite number is 100.
- If there exists a composite number in between two prime numbers then such a pair of prime numbers is called twin primes.
- For example: 3 and 5, 5 and 7, 11 and 13, 17 and 19, 41 and 43 are the list of Twin primes in the range of 1 to 100.
- Any even number which is greater than 2 is a composite number.
- There are infinitely many composite numbers.
HOW TO CHECK WHETHER A NUMBER IS COMPOSITE OR NOT?
Following are the steps to find the composite number.
- Find all the factors of the positive integer.
- If the given number has only two factors i.e., 1 and itself. So, the given number is a prime number.
- If the number has more than two factors, then it is a composite number.
COMPOSITE NUMBER LIST FROM 1 TO 100
A total of 74 composite numbers are there between 1 to 100. Below is the list of composite numbers from 1 to 100:
- Composite Numbers between 1 and 10 are
4, 6, 8, 9 and 10 which makes it five composite numbers between the numbers 1 to 10.
- Composite Numbers between 11 and 20 are
12, 14, 15, 16, 18 and 20 which makes it six composite numbers between the numbers 11 to 20.
- Composite Numbers between 21 and 30 are
21, 22, 24, 25, 26, 27, 28 and 30 which makes it eight composite numbers between the numbers 21 and 30.
- Composite Numbers between 31 and 40 are
32, 33, 34, 35, 36, 38, 39 and 40 which makes it eight composite numbers between the numbers 31 and 40.
- Composite Numbers between 41 and 50 are
42, 44, 45, 46, 48, 49 and 50 which makes it seven composite numbers between the numbers 41 and 50.
- Composite Numbers between 51 and 60 are
51, 52, 54, 55, 56, 57, 58 and 60 which makes it eight composite numbers between the numbers 51 and 60.
- Composite Numbers between 61 and 70 are
62, 63, 64, 65, 66, 68, 69 and 70 which makes it eight composite numbers between the numbers 51 and 60.
- Composite Numbers between 71 and 80 are
72, 74, 75, 76, 77, 78 and 80 which makes it seven composite numbers between the numbers 71 and 80.
- Composite Numbers between 81 and 90 are
81, 82, 84, 85, 86, 87, 88 and 90 which makes it eight composite numbers between the numbers 81 and 90.
- Composite Numbers between 91 and 100 are
91, 92, 93, 94, 95, 96, 98, 99, and 100 which make it nine composite numbers between the numbers 91 and 100.
DIFFERENCE BETWEEN PRIME NUMBERS AND COMPOSITE NUMBERS
Composite Number | Prime Number |
1.Composite Numbers are natural numbers that have more than two factors. | 1. Prime numbers are the positive integers that have only two factors i.e., one and itself. |
2.Composite numbers can be divided by any other number including 1 and itself. | 2.Prime numbers can be divided by one and itself. |
3.Example: 4, 6, 8, 9,10 etc. are examples of composite numbers. | 3. Examples: 2, 3, 5, 7, 11 etc. are examples of prime numbers. |
PROPERTIES OF COMPOSITE NUMBERS
- The composite numbers are the set of natural numbers which has more than two factors.
- The number 4 is the smallest or least composite number.
- Every composite number can be written as the product of two or more prime numbers.
- Each composite number is a factor of itself. This is because each composite number can be written as a product of 1 and the number itself. For example, we can write 16 as 16 x 1. Similarly, 20 can be written as 20 x 1 = 20
- There is no largest composite number. This means that there is always a larger composite number than another composite number.
- A composite number with three different factors is known as sphenic numbers.
- The number ‘1’ will not be considered as a composite number.
- All even numbers except ‘2’ are composite numbers.
- When we add or subtract two even composite numbers, the result is always an even composite number.
- When we add an even composite number and an odd composite number, the result is always an odd composite number.
- When we multiply two even composite numbers, the result is always an even composite number.
- When we add or subtract two odd composite numbers, the result is always an even composite number.
- When we multiply two odd composite numbers, the result is always an odd composite number.
- When we multiply an even composite number and an odd composite number, the result is always an even composite number.
APPLICATIONS OF COMPOSITE NUMBERS
The application of composite numbers is used throughout mathematics to describe the shape, measure, quantify amounts of objects, and perform arithmetic.
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Examples
Q1 . Find if 35 is a composite number.
Solution:
Let us find the factors of 35.
35 ÷ 1 = 35
35 ÷ 5 = 7
35 ÷ 7 = 5
35÷ 35 = 1
Thus, the factors of 35are 1, 5, 7 and 35.
So, the number 35 is a composite number.
Q2. Check if 101 is composite number.
Solution:
The factors of 101 are = 1 and 101
It has only two factors
So, is 101 is not a composite number.
Q3.: Write all the composite numbers from 1 to 50.
Solution:
Composite numbers from 1 to 50 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
Q4 . Show by factorisation method that the below numbers are composite:
Solution:
- 44 b) 65 c) 24 d) 120
Solution: Factors of 44 are:
1, 2, 4, 11, 22 and 44
Since 44 has more than two factors, it is a composite number.
Q5.Factors of 65 are:
Solution:
1, 5, 13, 65
Since, 65 has more than two factors, it is a composite number.
Q6. Factors of 24 are:
Solution:
1, 2, 3, 4, 6, 8, 12 and 24.
Since, 24 has more than two factors, it is a composite number.
Practice Questions
Composite Number Practice Questions
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FAQ
What are Composite Numbers?
Composite numbers are those numbers that have more than two factors. In other words, composite numbers have factors other than 1 and itself. For example, number 8 is a composite number because it has 1, 2, 4, and 8 as its factors.
What is the smallest composite number?
4 is the smallest composite number.
Is 2 a composite number?
No, because 2 has only two factors, i.e., 1 and the number itself. Hence 2 is neither composite nor a prime number.
What are sphenic numbers?
No, because 1 does not have more than two factors. Hence 1 is neither composite nor a prime number.
Is 0 a composite number?
Zero (0) is considered as neither prime nor a composite number because it does not have any factors.
How to check whether a number is composite number or not?
To check whether a given number is composite or not, we have to find the factors of a given number. If it has more than 2 factors, then the number is composite and if it has only two factors, then the number is prime. For example, 4 has three factors, 1, 2, and 4. So, it is a composite number and 3 has only two factors 1 and 3. So, 3 is a prime number.
What are Consecutive Composite Numbers?
Consecutive composite numbers are those composite numbers that continuously follow each other without any prime number in between them. For example, the first few consecutive composite numbers are 8, 9 10, and so on.
How many composite numbers are there from 1 to 100?
There are 74 composite numbers from 1 to 100.
What are the two types of Composite Numbers?
The two types of Composite Numbers are:
- Even Composite Numbers
- Odd Composite Numbers
| Acute Angled Triangle | Right Angled Triangle | Obtuse Angled Triangle |
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FAQs
Composite Numbers Definition, Properties , Types - Teachmint? ›
In maths, composite numbers are the type of natural numbers that have more than two factors. COMPOSITE NUMBER DEFINITION. The natural numbers that are not prime numbers are called composite numbers. Example: 4, 6, 8, 9, 12 have more than two factors, So, they are the composite numbers.
What is the definition of a composite number? ›A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
What are 4 examples of composite numbers? ›For example, 4, 6, 8, 10, 12, 14, and 16, are even composite numbers. Consider the numbers 1, 2, 3, 4, 9, 10, 11, 12, and 15 again. Here 4, 10, and 12 are the even composite numbers because these even numbers have more than 2 factors and they fulfill the condition of composite numbers.
What are 4 properties of composites? ›However, as a class of materials, composites tend to have the following characteristics: high strength; high modulus; low density; excellent resistance to fatigue, creep, creep rupture, corrosion, and wear; and low coefficient of ther- mal expansion (CTE).
What are composites properties and uses? ›A composite material is a combination of two materials with different physical and chemical properties. When they are combined they create a material which is specialised to do a certain job, for instance to become stronger, lighter or resistant to electricity. They can also improve strength and stiffness.
What are 5 examples 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.
What are the 3 composite numbers? ›| Prime | Composite |
|---|---|
| 2, 3, 5, 7 | 4, 6, 9, 10 |
They are 90,91,92,93,94,95,96 and all of them are composite numbers. Therefore, 7 consecutive composite numbers between less than 100 are 90, 91, 92, 93, 94, 95, and 96. Note: To solve this question, we need to keep in mind the definitions of composite numbers and prime numbers.
What is a composite number definition for kids? ›Composite numbers are whole numbers that can be divided by numbers other than itself and 1. They have “factors”. Factors are the numbers that divide into it. For example, 2 and 5 are factors of 10. Every whole number higher than 1 is either a composite number or a prime number.
What is a composite number kids explanation? ›Composite numbers are whole numbers that have more than two factors. In other words, a composite number is divisable by the number itself, the number 1 and at least one other number. The first few composite numbers are 4, 6, 8, 9 and 10. For example, the factors of number 4 include 1, 2 and 4.
Why one is a composite number? ›
Is 1 a Composite Number? Yes, since 1 has only one factor. In other words, 1 is a composite number because 1 has less than 2 factors.
How do you identify a composite number? ›Definition 1: In Mathematics, composite numbers are numbers that have more than two factors. Definition 2: The numbers which can be generated by multiplying the two smallest positive integers and contain at least one divisor other than the number '1' and itself are known as composite numbers.
Can a composite number be odd? ›It's a composite number as it has factors as 1, 3, 5, 15. There is no even number in its factor and 15 itself isn't an even number. A composite number can be an odd number. Let us consider numbers from 1 to 10 - 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
What is the 4 prime composite number? ›The number 4 is not prime, since it has three divisors ( 1 , 2 , and 4 ), and 6 is not prime, since it has four divisors ( 1 , 2 , 3 , and 6 ). Definition: A composite number is a whole number with more than two integral divisors. So all whole numbers (except 0 and 1 ) are either prime or composite.
What are the basic types of composites? ›The most common type is polymer matrix composites, however, metal matrix composites, and ceramic matrix composites are also common, as are natural composites such as wood.
What are the 3 main categories of composite materials? ›Organic, polymeric or Reinforced-Plastics matrix composite materials.
What are the three 3 classification of composite materials? ›There are three types of composite mater- ials, namely: polymer-matrix composites, metal-matrix composites and ceramic-matrix composites and they are widely used in numerous engineering applications as shown in Figure 1.
What are two examples of composites? ›Composite – Composite building material examples include concrete, reinforced plastics, cement, steel–reinforced concrete, and composite wooden beams. These materials are generally durable and strong.
What are the components of a composite? ›The two main components within a composite are the matrix and fiber. The matrix is the base material while the fiber is what reinforces the material.
What are examples of composite uses? ›Composite materials are generally used for buildings, bridges, and structures such as boat hulls, swimming pool panels, racing car bodies, shower stalls, bathtubs, storage tanks, imitation granite, and cultured marble sinks and countertops.
What are the first 10 composite numbers? ›
- Determine the mean and mode of the first composite numbers.
- Except for , all even integers are composite numbers.
- Here, first ten composite numbers are: 4 , 6 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 18 .
- Hence, the mean is. and there is no mode.
There are an infinite number of highly composite numbers, and the first few are 1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040, ... (OEIS A002182). The corresponding numbers of divisors are 1, 2, 3, 4, 6, 8, 9, 10, 12, 16, 18, 20, 24, 30, 32, ... (OEIS A002183).
What is 5 composite? ›5-Harness Satin Weave (5HS) - In the 5-Harness Satin weave the fill yarn floats over four warp yarns and under one. It is more pliable than the plain weave and easily conforms to curved surfaces.
Do all composite numbers have 3 factors? ›In order to be a composite number, a number must have at least three factors. Many composite numbers have more than three, but as long as there are at least three factors, it is classified as a composite number. For example, the smallest composite number, which is 4, has just three factors: 1, 2, and 4.
What is 3 prime or composite? ›3 is a prime number because 3 can be divided by only two number's i.e. 1 and 3 itself. In the same way, 2, 5, 7, 11, 13, 17 are prime numbers.
Is 1 a composite number? ›1 is neither prime nor composite.
What are the first 9 composite numbers? ›The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ... (OEIS A002808), whose prime decompositions are summarized in the following table. Note that the number 1 is a special case which is considered to be neither composite nor prime.
Is 777 a composite number? ›Yes, since 777 has more than two factors i.e. 1, 3, 7, 21, 37, 111, 259, 777. In other words, 777 is a composite number because 777 has more than 2 factors.
What is the example of composites number? ›Examples of composite numbers include: 4, as it has three factors: 1,2 and 4. There are 5 composite numbers between 10: 4, 6, 8, 9, 10.
Why 3 5 7 7 is a composite number? ›Given number is 3 × 5 × 7 + 7. 112 is an even number. Also, 112 is divisible by other numbers such as 2, 4, 7, 8, 14, 16, 28 and 56 apart from itself (112) and 1. So, 3×5×7+7 is a composite number.
Is 5 a composite number? ›
Is 5 a Composite Number? No, since 5 has only two factors, i.e. 1 and 5. In other words, 5 is not a composite number because 5 doesn't have more than 2 factors.
What is a composite number in math sentence? ›Being the smallest number with exactly 9 divisors, 36 is a highly composite number. A natural number greater than 1 that is not a prime number is called a composite number. It is neither a prime number nor a composite number. Four is the smallest composite number that is equal to the sum of its prime factors.
Why are composite numbers important? ›Why All the Fuss about Prime and Composite? Because we can "break apart" Composite Numbers into Prime Number factors. It is like the Prime Numbers are the basic building blocks of all numbers. And the Composite Numbers are made up of Prime Numbers multiplied together.
What is the largest composite number? ›The largest four digit number is 9999, it is also divisible by "3", so the 9999 is the largest composite number.
Is zero a composite number? ›Zero is neither a prime nor a composite number.
What are the properties of a composite depend on? ›The final properties of a composite material depend on both the nature of the constituent materials, and on their physical or chemical affinity.
Does a composite number have exactly 2 factors? ›A number with only two factors is called a prime number. A number with more than two factors is called a composite number.
How are composite properties determined? ›Numerical homogenization is an efficient way to determine effective macroscopic properties, such as the elasticity tensor, of a periodic composite material.
What are the properties of prime and composite numbers? ›A prime number is a number which has exactly two factors i.e. '1' and the number itself. A composite number has more than two factors, which means apart from getting divided by 1 and the number itself, it can also be divided by at least one positive integer. 1 is not a prime or composite number.
What is the meaning of composite property? ›composite property means property that is wrapped, packaged or otherwise prepared for sale as a single product, the only components of which are a printed book and. Sample 1Sample 2Sample 3.
What are the elements of a composite? ›
The two main components within a composite are the matrix and fiber. The matrix is the base material while the fiber is what reinforces the material.
How do you identify composite numbers? ›All the natural numbers which are not prime numbers are composite numbers as they can be divided by more than two numbers. For example, 6 is a composite number because it is divisible by 1, 2, 3 and even by 6.
Do composite numbers have only 3 factors? ›In order to be a composite number, a number must have at least three factors. Many composite numbers have more than three, but as long as there are at least three factors, it is classified as a composite number. For example, the smallest composite number, which is 4, has just three factors: 1, 2, and 4.
Does every composite number have ____ factors? ›composite numbers are numbers that have more than two factors, so composite numbers should have atleast 3 factors.
How are composites classified? ›Composite materials can be classified according to their matrix into three types: Ceramic Matrix, Polymeric Matrix (which included the elastomers) and Metal Matrix [1] [2] [3] . ...
What are the four main divisions of composite materials? ›In this lesson, a simple scheme for the classification of composite materials which consists of four main divisions: particle-reinforced, fiber-reinforced, structural, and nanocomposites, was presented and defined.
What are the three general factors that determine the properties of a composite material? ›Three factors are given in the text: (1) the component materials; (2) the geometric shapes of the constituents - the reinforcing phase in particular - and the resulting structure of the material; and (3) the interaction of the phases.
What is a property of a prime number? ›Properties of Prime Numbers
Every number greater than 1 can be divided by at least one prime number. Every even positive integer greater than 2 can be expressed as the sum of two primes. Except 2, all other prime numbers are odd. In other words, we can say that 2 is the only even prime number.
Composite numbers are neither a prime number nor a unit. For example, 4, 6, 8, 9, 10…… are composite numbers because they have more than two factors.