Is 24 a prime number?

Any number which has only 2 factors, i.e, one and the number itself, is a prime number. To check whether 24 is a prime number or not, 1, 2, 3, 4, 6, 8, 12, 24 are the factors of 24. It's clear that 24 has more factors, so 24 is not a prime number.

Now let’s check why 24 is a prime number. To check whether a number is prime or not, there are different methods. 
Counting divisor method

• Divisibility test

• Prime number chart

• Prime factorization
   

Here, we need to count the total number of divisors of the given number. Prime numbers have only two factors, that is one and the number itself. 

Is 24 a prime number or not? 

As 24 is divisible by 1, 2, 3, 4, 6, 8, 12, 24.

As, 24 has more than 2 factors, 24 is a composite number.
 

In the Divisibility method, the given number is divided by other numbers from 2 to the square root of the number. 

Checking is 24 a prime number using divisibility method:

Square root of 24 ≅ 4.8

Hence, we need to check the divisibility of 24 by 2 and 3

 
Checking the divisibility by 2: 24 is an even number, so it is divisible by 2

Checking the divisibility by 3: when we add 2 and 4 it is 6, and 6 is divisible by 3. So, 24 is divisible by 3.

As 24 is having more than 2 factors, it cannot be a prime number
 

Prime number charts are used to check whether a number is prime or not. A chart consisting of all the prime numbers is called the prime number chart.

Let’s check whether 24 is a prime number or not using the chart.

Prime numbers till 30 according to the prime number chart are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31.

So, 24 is a composite number, as it is not part of the chart.

To find the prime factorization of a number, the number is divided into small prime numbers. The product of all prime factors will be the number. A prime number cannot be factorized again. 

Prime factorization of 24 = 2 × 2 × 2 ×3

Exponentially, it can be written as 2³× 3
 

• Even number: Even numbers are the numbers which are divisible by 2 are prime numbers. 

• Prime number: Prime numbers are the numbers which are only divisible by 1 and the number itself.

• Composite numbers: The composite numbers are any numbers that have more than 2 factors

• Prime factorization: While doing prime factorization, the number is divided into small prime numbers. And when we multiply the prime factors, the end result should be the number.