Is 47 A Composite Number
In Mathematics, blended numbers are numbers that have more than two factors. These numbers are too called composites. Blended numbers are just the opposite of prime numbers which accept just two factors, i.e. 1 and the number itself. All the natural numbers which are not prime number numbers are composite numbers as they can be divided by more than than two numbers. For example, 6 is a composite number because it is divisible by 1, 2, 3 and even by 6.In this commodity, we will learn the definition of composite numbers, backdrop, smallest composite number, even and odd composite numbers, list of composite numbers, and deviation between prime number and composite numbers forth with many solved examples in detail.
What are Composite Numbers in Maths?
Definition ane: In Mathematics, blended numbers are numbers that have more than two factors.
Definition ii: The numbers which can be generated by multiplying the two smallest positive integers and contain at least ane divisor other than the number 'i' and itself are known equally composite numbers. These numbers always have more than ii factors.
Fact: Any even number which is greater than 2 is a composite number .
Is 0 a Composite Number?
Nada (0) is considered as neither prime nor a composite number considering it does not take any factors.
Composite Numbers Examples
The examples of composite numbers are half-dozen, 14, 25, 30, 52, etc, such that:
| Composite numbers | Factors |
| 6 | i, 2, three, 6 |
| 14 | 1, 2, seven, 14 |
| 25 | one, five, 25 |
| 30 | i, two, three, 5, 6, 10, 15, 30 |
| 52 | 1, ii, iv, thirteen, 26, 52 |
In all the above examples, we tin see the composite numbers have more two factors. There are a number of composite numbers nosotros tin list out of a set up of natural numbers from one to yard or more. Let us see the list of composite numbers in the next section.
Properties of Composite Numbers
The backdrop of composite numbers are easy to recall.
- Composite numbers have more than than two factors
- Blended numbers are evenly divisible past their factors
- Each composite number is a factor of itself
- The smallest composite number is 4
- Each blended number will include at least two prime numbers as its factors (Eg. 10 = ii ten 5, where 2 and five are prime numbers)
- Composite numbers are divisible by other composite numbers besides
List of Composite Numbers
Here is the listing of composite numbers from 1 to 100 in Maths. Students can keep a note of this and likewise try to write the numbers across 100 for do, such composites from 1 to 200 or till 500.
Composite Numbers Chart
Blended Numbers 1 to 200
The positive integers having more than two factors are blended numbers. The list of Blended numbers from ane to 200 are given below in the table.
4, half-dozen, 8, nine, x, 12, 14, xv, 16, 18, twenty, 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, threescore, 62, 63, 64, 65, 66, 68, 69, seventy, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, xc, 91, 92, 93, 94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 112, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 128, 129, 130, 132, 133, 134, 135, 136, 138, 140, 141, 142, 143, 144, 145, 146, 147, 148, 150, 152, 154, 155, 156, 157, 158, 159, 160, 162, 164, 165, 166, 168, 170, 172, 174, 175, 176, 177, 178, 180, 182, 184, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, and 198.
How to Find the Composite Number?
The procedures to notice whether a given number is prime number or composite:
- Find all the factors of the positive integer
- A number is said to be prime number if information technology has but two factors, 1 and itself
- If the number has more than 2 factors, then it is a composite
- 14÷i = 14
- 14÷2 = vii
- 14÷7 = two
- xiv÷xiv = one
As nosotros tin see, the factors of 14 are i,2,seven and xiv, so it is a composite number.
Types of Composite Numbers
There are two primary types of blended numbers in Maths which are:
- Odd Composite Numbers or Blended Odd Numbers
- Even Composite Numbers or Blended Even Numbers
Odd Composite Numbers
All the odd integers which are not prime are odd composite numbers. Examples of composite odd numbers are 9, fifteen, 21, 25, 27, 31, etc.
Even Composite Numbers
All the fifty-fifty integers which are not prime are even blended numbers. Examples of even blended numbers are iv, 6, 8, 10, 12, xiv, xvi, etc.
Smallest Blended Number
iv is the smallest composite number.
Why?
ane is non a composite number because the sole divisor of 1 is 1. The positive integers two and 3 are prime numbers considering it tin be divided past only two factors, one and itself. Hence 2 and three are not composite.
But in the case of number 4, we have more than ii factors. The divisors of 4 are one,2,4. So this number satisfies the status of a composite number as mentioned above. Afterwards 4, vi is the next blended positive integer, which has factors 1, 2, 3 and 6.
Hence, 4 is the smallest blended number (Proved).
- Smallest Blended Number = 4
- Smallest Prime = two
- Smallest Odd Composite Number = 9
- Two-digit Smallest Blended Number = 10
Difference Betwixt Prime and Composite Numbers
The deviation between the prime numbers and the composite numbers in Maths are listed beneath:
| Prime number Numbers | Composite Numbers |
|---|---|
| It can only be divided by 1 and itself, thus have merely 2 factors. | It has more than ii factors (1 and itself). |
| Information technology can only be written as a production of two numbers | It tin be written as the product of 2 or more numbers |
| Example: 5 has factors are 1 and 5 | Case: four has factors are 1, 2 and 4 |
Prime number Factorization of Composite Numbers
The list of composite numerals from 1 to l are given hither with their prime factorization. Y'all can meet here how the composites are factorized in prime numbers. Cheque the below table to empathize better. With the assist of this table, yous can also discover composites beyond 50 with their prime factorization.
| Composite Numbers | Prime number Factorization |
| 4 | 2 × ii |
| half dozen | 2 × three |
| eight | ii × ii × 2 |
| 9 | iii × iii |
| 10 | two × 5 |
| 12 | 2 × ii × 3 |
| 14 | 2 × vii |
| 15 | iii × five |
| 16 | 2 × ii × 2 × ii |
| xviii | 2 × three × 3 |
| xx | 2 × ii × 5 |
| 21 | three × vii |
| 22 | 2 × 11 |
| 24 | 2 × 2 × 2 × three |
| 25 | five × v |
| 26 | 2 × 13 |
| 27 | 3 × 3 × 3 |
| 28 | 2 × 2 × 7 |
| 30 | 2 × 3 × five |
| 32 | 2 × 2 × two × 2 × ii |
| 33 | 3 × 11 |
| 34 | ii × 17 |
| 35 | 5 × 7 |
| 36 | 2 × 2 × 3 × three |
| 38 | 2 × 19 |
| 39 | 3 × 13 |
| 40 | 2 × 2 × 2 × 5 |
| 42 | 2 × 3 × 7 |
| 44 | 2 × 2 × 11 |
| 45 | iii × iii × 5 |
| 46 | 2 × 23 |
| 48 | 2 × 2 × 2 × two × 3 |
| 49 | 7 × 7 |
| fifty | two × five × 5 |
Video Lesson on Numbers
Related Articles
- Prime and Composite Numbers
- Prime Factorization
- Prime number, Composite And Even, Odd Numbers
Solved Problems on Composite Numbers
Example 1:
Find if 328 is a blended number.
Solution:
The factors of 328 are one, 2, iv, eight, 41, 82, 164, 328.
Therefore, 328 is a blended number.
Instance 2:
What is the prime factorization of 60?
Solution:
The prime factorization of 60 is:
60 = two × 2 × iii × 5.
Example iii:
List out the blended numbers from the given set of numbers.
2, 4, 9, 11, 21, 31, 44, 53, 67, 88, 101, 108.
Solution:
The composite numbers are: 4, 9, 21, 44, 88, 108.
Example 4:
Observe the production of commencement 5 blended numbers.
Solution:
The starting time 5 blended numbers are four, 6, eight, 9, x.
Hence, the product of first 5 blended numbers = 4 × vi × 8 × nine × 10
= 17280
Therefore, the production of first five composite numbers is 17280.
Exercise Questions (Worksheet)
- List the composite numbers between 20 and xxx.
- Find if 85 is a composite number.
- What are the prime factors of 99?
- What is the sum of factors of composite number 18?
- Find the composite numbers among the following fix of numbers in the given table.
| 7 | xviii | 33 | 11 |
| vi | 13 | ninety | 21 |
| 98 | v | 63 | 19 |
| 61 | 52 | 2 | 81 |
To learn more virtually the different types of numbers, download BYJU'S -The Learning App from the Google play store and scout interactive videos.
Frequently Asked Questions on Composite Numbers
What is a composite number?
A composite number is a natural number or a positive integer which has more than two factors. For example, 15 has factors ane, 3, 5 and 15, hence it is a composite number.
Is 2 a composite number?
No, 2 is not a blended number because it has simply ii factors, i.east. 1 and 2. Hence, it is a prime number.
Is 9 a composite number?
Yep, 9 is a composite number because information technology has more than two factors, such as i, 3 and 9.
What are the blended numbers from i to 100?
The list of blended numbers from one to 100 are:
4, 6, eight, ix, 10, 12, 14, fifteen, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, thirty, 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, ninety, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Is nineteen prime number or composite?
nineteen is a prime number because it has only two factors, i.eastward. i and 19.
Is i a composite number?
No, because 1 does non accept more than two factors instead it has only 1 factor. Hence, it is neither prime number nor composite.
How many blended numbers are there between one and ten?
There are four composite numbers between 1 and ten. They are iv,six,eight and 9.
Is 49 a composite number?
Yes, 49 is a composite number, because it contains more than 2 factors. The factors of 49 are ane, 7 and 49.
Is 47 A Composite Number,
Source: https://byjus.com/maths/composite-numbers/
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