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Bank Exam » Bank Exam Study Materials » Quantitative Aptitude » Composite Numbers
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Composite Numbers

“Composite number” that has only two factors like 1 and itself then that number is not the “composite number”.

Table of Content
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“Composite numbers” have more than two factors, the number that has only two factors like 1 and itself then that number is not the “composite number”. The number with more than two factors is composite numbers and the number with only two factors is prime the numbers, their factors are 1 and itself. The 2 is in the expectation case it is only the prime number that is even and the rest all the prime numbers are odd.

“Definition of the composite number”

Composite number is a number that has more than two factors and it can also contain more than 2 factors that can be prime or the composite number. In other words, the composite numbers that have the factor of more than 1 and itself it is also the factor of some other number. Examples of composite numbers are 4, 6, 8, 9, etc.

Properties of “composite number”

Every composite number is made from two and more multiple prime and composite numbers. Every composite number is divisible by the smaller composite and prime numbers. Example 36, the factor of the 36 is
36 1× 36= 1× 2× 18
36 2× 18= 2× 2× 9
36 3× 12 = 3× 4× 3
36 4× 9 = 2× 2 × 3× 3
36 6× 6 = 3×2 × 3×2
From the above table it can be seen that, 36 is the multiple of 2 (prime) and 18 (composite) numbers and in the last line of the table 36 is the multiple of 3 (prime) × 3 (prime) × 2 (prime) × 2 (prime) numbers. Clearly, it can be seen that all the factors of the composite number are prime numbers.

Difference between “composite and prime numbers”

Prime numbers Composite numbers
It can be odd It also can be odd
It cannot be even It can be even
There are only two factors They have more than two factors
These factors are 1 and itself These factors are 1, itself and the other composite or prime numbers
The composite numbers can be even and odd but a “prime number” is always an “odd number”. The factor of the prime number is always two however for the composite number the number must have at least three factors.

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
From the table it can be seen that it contains the “even and odd numbers” and the missing numbers except 1 are the prime numbers. In the above table, all the numbers have factors of more than 2 however missing numbers have only two factors 1 and itself are the prime number.

Types of Composite number

“Odd composite numbers” In the odd numbers that have factors more than 2 are odd “composite numbers”. 9 and 15 are examples of odd composite numbers, here both are odd numbers and their factors are more than 2. 9 = 9×1 = 3×3 and for 15 = 1×15 = 3×5. “Even composite numbers” All the even numbers except 2 are the even composite numbers. However, all the even numbers are divisible by 2. So they fulfill the condition of the composite numbers that they must have the factors more than 2 and all the even numbers are the multiple of the 2. Here are some numbers that are examples of odd composite numbers that are 4, 6, 8, 10, etc. Smallest “composite number” Smallest composite number is 4 and it is the smallest “even composite number”.

Conclusion

From the article, it can be observed that the numbers of the composite numbers are greater than prime numbers. A prime number is never an even number while the composite numbers can be even and odd. The “prime numbers” are always odd numbers. The different types of composite and their properties are discussed in the above section. The smallest composite number is an even number.

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