Divisibility Rules of Composite Numbers

In mathematics, numbers are classified into prime numbers and composite numbers.   These numbers are opposites and play a key role in the topic. However, dividing the number can be difficult, and if the number is composite, the difficulty increases because there are more than two dividing factors to consider.   As a result, in this article, we introduced a method or divisibility rule for determining whether a number is composite or not and, if so, what the divisibility rule is. We will discuss the composite numbers’ meaning, prime and composite numbers, least composite numbers, largest composite numbers, etc. 

What are composite numbers? 

Before moving to the divisibility rules, let’s discuss composite number meaning. 

In Quantitative aptitude, Composite numbers are the numbers that have more than two factors, not like prime numbers, which have two factors like one and the number itself.   However, in the case of composite numbers, they have more than two factors.   Hence, prime and composite numbers are just opposite of each other.   For example, if we take six as a number, it is a composite number as it has more than two factors like it can be divided by 1, 2, 3, 6. Hence it’s a composite number. 

This article will discuss the divisibility rules of some composite numbers and more things like the least composite number, biggest composite number, composite numbers list, and the difference between prime and secondary composite numbers.  

Method to find Divisibility of composite numbers 

Let’s discuss some methods to find the Divisibility of composite numbers.

Step1: The initial is to factorise the number. 

Step 2: When the number is divided by all of the factors at once, a number is a composite number. 

Now, let’s check some of the Divisibility of composite numbers.  

Divisibility check of 6 

Initially, let’s find out if 6 is a composite number or not.  

After factoring 6, we got two factors, that is 2 and 3. 

Now, one should verify if the given number is by 2 and 3 simultaneously.

For example, let’s take the number 369024, divided by 6.

According to the divisibility rule of 6, If a number is divided by two and three, it will be divisible by 6.

Divisibility check for 2

Examine the final digit of the given number.   If it’s an even number, it’ll be divisible by two.

The number 369024 has an even unit digit ending by 4.   As a result, it will be divisible by two.

Divisibility check for 3

If the sum of a number’s digits is divided by three, the percentage is divided by three.

In this number, add all the unit places that are 3+6+9+0+2+4= 24.   And 24 is divided by 3, which means that 369024 is divided by 3.

Hence, one can say that the number 369024 is divided by six as it is divided by 2 and 3, which are six factors.  

Step 1: Factorise: 12=2*2*3

Step 2: To determine Divisibility, the number must be divisible by 22/4 and 3.

Check to see if 158496 is divided by 12.

If the number has to be divisible by four, it should be divisible by three, and if it has to be divisible by twelve, it should be divisible by three. 

Divisibility check for 3: A number is divided by three if the sum of its digits is three.

158496 digit sum => 1+5+8+4+9+6 =33

Which of the following is divided by three? 

Divisibility check for 4: Look at the number’s last two digits; if those two digits can be divided by four, the number will be divided by four.

The last two digits are 96 and are divisible by four.

Because it is divided by 4 and 3, it is divided by 12.  

List of composite numbers

Let’s discuss a set of composite numbers ranging from 1 to 100 in Maths.   And one should know the different composite numbers to 200 or 500.

The list includes numbers, 4, and 6, 8, and 9, then 10, 12, 14, 15, and 16, then 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, and 49 then, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, and 78 then, 80, 81,82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, and 98 then, 99, 100.

Conclusion

The composite number means that these are the numbers with more than two factors, and prime and composite numbers are opposite each other. However, dividing the number can be difficult, and if the number is composite, the difficulty increases because there are more than two dividing factors to consider.   As one needs to check the Divisibility of more than two numbers, for example, if the number is 12, the other two factors except 1 and 12 are 4 and 3.   Hence, to check the Divisibility of 12, you need to check the Divisibility of 3 and 4. Hence, you have understood everything like a composite meaning, the least composite number and the difference between prime and composite number.