Question: Is 5{,}625 divisible by $2$, $3$, $5$, $6$, and $10$? Explain each answer using a divisibility test.

Sample answer: 5{,}625 is not divisible by $2$ because its last digit, $5$, is not even. It is divisible by $3$ because $5+6+2+5=18$, and $18$ is divisible by $3$. It is divisible by $5$ because it ends in $5$. It is not divisible by $6$ because it is not divisible by both $2$ and $3$. It is not divisible by $10$ because it does not end in $0$.

Key points:

• Not divisible by $2$: the last digit is not even.
• Divisible by $3$: the digit sum is $18$.
• Divisible by $5$: the last digit is $5$.
• Not divisible by $6$: it fails the test for $2$.
• Not divisible by $10$: the last digit is not $0$.

Rubric: Give one point for each correct conclusion and explanation for $2$, $3$, $5$, $6$, and $10$.