Question

What is the divisibility rule of $16$ and $17$?

Answer 1

Divisibility rule of $16$ and $17$.

Divisibility rule of $16$:

• If the thousands digit is even, the number formed by the last three digits must be divisible by $16$ . For example: $544,480$ the thousands digit $\left(4\right)$ is even and the last three digits form $480$ which is divisible by $16$.
• If the thousands digit is odd, the number formed by the last three digits plus $8$ must be divisible by $16$. For example: $3040:040+8=048$
• Add the last two digits to four times the rest. The result must be divisible by $16$. For example: $176:1\times 4+76=80.$

Divisibility rule of $17$.

• Subtract $5$ times the last digit from the rest. For example: $986:98-6\times 5=68$ which is divisible by $17$.
• Subtract the last two digits from two times the rest. For example :$4,675:46\times 2-75=17.$
• Add $9$ times the last digit to $5$ times the rest. Example $4,675:467+5+5\times 9=2380;238:23\times 5+8\times 9=187.$ which is divisible by $17$.

Thus, divisibility rule of $16$ and $17$ are explained above.