Question

Write the prime factors of $24$.

Answer 1

Hint: The prime factor tree represents the prime factors of a given number.
The prime factor tree indicates the prime factors of a given number in the form of branches of a tree.

Complete step by step answer:
The prime factor tree helps in finding the prime factors of a number greater than $1$.
Prime factors of the number refer to numbers which are divisible by $1$ and itself. For example: $2$ is a prime number as it is only divisible by $1$ and the number itself.
Composite numbers are those numbers which have factors other than $1$ and the number itself. Every composite number can be represented by a factor tree.
Prime factorization method is generally used to find the factors of a composite number in order to reach the Highest common factor or Lowest common multiple of two or more numbers.
Prime factorization method is easy to understand and apply in determining the factors of a number.
Prime factors of $24$ are determined as:

Prime factors of a number are the numbers on the left branches of the prime factor tree. Prime factors of $24=2\times 2\times 3\times 2$. Other factors: $12,4,2$ are composite numbers.
Every composite number can be represented as the product of prime factors.

Note: $1$ is neither a prime number nor a composite number as $1$ has only a factor that is itself.
$2$is the only even prime number as other even numbers have more factors (other than $1$ and itself) due to which they are not prime numbers.