Question

Determine if $25110$ is divisible by $45$.

Answer 1

Divisibility test:

As We have

$$\begin{gathered} \Rightarrow 45=3\times 3\times 5 \\ So,45=5\times 9 \end{gathered}$$

Let’s check if $25110isdivisibleby5$

A number is divisible by $5$ if its unit digit contains $0or5$

Since $25110has0$ as its unit digit, therefore, $25110\mathrm{is}\mathrm{divisible}\mathrm{by}5$

A number is divisible by $9$ if sum of digits of number is divisible by $9$

Let’s find the sum of the digits

$2+5+1+1+0=9$

Since $9$ is divisible by $9$

Therefore, $25110$ is also divisible by $9$

Since $25110$ is divisible by both $5$ and,$9$

So, it is divisible by $45$

Thus, $25110$ is divisible by $45$