Question

Find which of the following numbers are divisible by $15$ :​
(i) $960$​

Answer 1

Step 1: Check if $960$​ is divisible by $3$
Given number: $960$​
A number is divisible by $3$ if the sum of digits is divisible by $3$.
Here, sum of digits = $9$+$6$+$0$ = $15$.
Since $15$ is divisible by $3$. So, $960$​ is divisible by $15$.
Step 2: Check if $960$​ is divisible by $5$
A number is divisible by $5$ if the unit’s place is either $0$or $5$.
Here, unit digit = $0$
So, $960$ is divisible by $5$.
Step 3: Check if $960$​ is divisible by $15$
A number is divisible by $15$ if it is divisible by both $3$ and $5$.
Since $960$ is divisible by both $3$ and $5$.
Hence, $960$ is divisible by $15$.