Question

$12$ is a factor of $36$. State true or false.

Answer 1

Hint: As the factors are nothing but any whole numbers except $1$ with which a larger number can be completely divisible, like $2$ is factor of $4,6$ and all the numbers which comes in table of $2,$ use this concept to determine whether $12$ is factor of $36$ or not.

Complete step-by-step solution:
As we have to determine whether $12$ is a factor of $36$ or not.
As we know that, factor means value of such numbers which completely divides the given number.
Like, here we have to check whether the given number which is to be checked whether it is a factor or not i.e. $12$ completely divides $36$ or not.
Let’s check whether 36 is completely divisible or not.
As, we know that,
Multiple of $12$ are $12,24,36...$
So, from here we get that, when we multiply $12$ with $3$ it gives $36,$ means we can conclude that when $36$ will be divisible by $12,$ it gives quotient as 3 and remainder as $0,$ means we can conclude that 36 is completely divisible by $12.$
Hence, $12$ will be a factor of $36$

Therefore the given statement is true.

Note: There are two major types, one is factors and the second one is multiplier.
Multiplier means multiples of given number,
For finding the multiplier we need to multiply the given number by natural number, as we know that smallest natural number is $1$
So, if we have to determine the multiplier of $5$ we need to multiply $5$ by $1,2,3...$
So, multiplier of $5$ will be $5,10,15,20...$
If any number is a multiplier of the second number, then the second number must be a factor of the first number.
Like, as the multiplier of $12$ will be $12,24,36,48...$
So, we can conclude that, $12$ is also a factor of $12,24,36$ and $48.$