# Factors of 24

## Factors

$1$, $2$, $3$, $4$, $6$, $8$, $12$ and $24$ are the factors of twenty four. ### Factorization

The number twenty four is a real number and it should be factorized to learn how to factorise the number $24$ and also to know which numbers are the factors of $24$.

#### Divide 24 by 1

Firstly, divide the number twenty four by the number one to find the quotient.

$24 \,\div\, 1$

$\implies$ $\dfrac{24}{1} \,=\, 24$

The number $1$ divides the number $24$ completely. So, the quotient of $24$ divided by $1$ is equal to $24$.

Similarly, the number $24$ also divides the number $24$ completely. So, the quotient of $24$ divided by $24$ is equal to $1$.

$\implies$ $\dfrac{24}{24} \,=\, 1$

The number $24$ can be written as the product of $1$ and $24$.

$\,\,\,\therefore\,\,\,\,\,\,$ $1 \times 24$ $\,=\,$ $24$

Therefore, the numbers $1$ and $24$ are called the factors of the number $24$.

#### Divide 24 by 2

Now, divide the number twenty four by the number two to calculate the quotient.

$24 \,\div\, 2$

$\implies$ $\dfrac{24}{2} \,=\, 12$

The number $2$ completely divides the number $24$. So, the quotient of $24$ divided by $2$ is equal to $12$.

Likewise, the number $24$ also divides the number $12$ completely. Hence, the quotient of $24$ divided by $12$ is equal to $2$.

$\implies$ $\dfrac{24}{12} \,=\, 2$

The number $24$ can be written as the product of $2$ and $12$.

$\,\,\,\therefore\,\,\,\,\,\,$ $2 \times 12$ $\,=\,$ $24$

Therefore, the numbers $2$ and $12$ are called the factors of the number $24$.

#### Divide 24 by 3

Let’s divide the number twenty four by the number three to evaluate the quotient.

$24 \,\div\, 3$

$\implies$ $\dfrac{24}{3} \,=\, 8$

The number $3$ completely divides the number $24$ and the quotient of $24$ divided by $3$ is equal to $8$.

Similarly, the number $8$ also completely divides the number $24$. So, the quotient of $24$ divided by $8$ is equal to $3$.

$\implies$ $\dfrac{24}{8} \,=\, 3$

The number $24$ can be written as the product of $3$ and $8$.

$\,\,\,\therefore\,\,\,\,\,\,$ $3 \times 8$ $\,=\,$ $24$

Therefore, the numbers $3$ and $8$ are called the factors of the number $24$.

#### Divide 24 by 4

Finally, divide the number twenty four by the number four to find the quotient.

$24 \,\div\, 4$

$\implies$ $\dfrac{24}{4} \,=\, 6$

The number $4$ divides the number $24$ completely and the quotient of $24$ divided by $4$ is equal to $6$.

Likewise, the number $6$ also divides the number $24$ completely. So, the quotient of $24$ divided by $6$ is equal to $4$.

$\implies$ $\dfrac{24}{6} \,=\, 4$

The number $24$ can be written as the product of $4$ and $6$.

$\,\,\,\therefore\,\,\,\,\,\,$ $4 \times 6$ $\,=\,$ $24$

Therefore, the numbers $4$ and $6$ are called the factors of the number $24$.

#### Conclusion

It is evaluated that the numbers $1$ and $24$, $2$ and $12$, $3$ and $8$, and $4$ and $6$ are the factors of the number $24$. Therefore, the factors of $24$ are $1$, $2$, $3$, $4$, $6$, $8$, $12$ and $24$.

The remaining numbers $5$, $7$, $9$ to $11$ and $13$ to $23$ cannot divide the number $24$ completely. So, they are not the factors of the number $24$.

##### Representation

The factors of $24$ is denoted by $F$ subscript to $24$ algebraically in mathematics.

$F_{24}$ $\,=\,$ $\big\{1,\, 2,\, 3,\, 4,\, 6,\, 8,\, 12,\, 24\big\}$

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