What Is the Divisibility Rule for 9?


Question: What is the divisibility rule for 9

The divisibility rule for 9 is similar to that of divisibility rule of 3.

Answer: If the sum of the digits of the number is divisible by 9, then the given number is divisible by 9.

Let's explore the divisibility rule for 9 in detail.

Explanation:

  • Add the digits of the given number
  • Check if the obtained sum is divisible by 9 or not
  • If the sum is divisible by 9, then the given number is also divisible by 9

For example, 81963 is divisible by 9 as 8 + 1 + 9 + 6 + 3 = 27 is divisible by 9

Verification: 81963/9 = 9107

Thus, the divisibility rule for 9 is the sum of the digits of the number should be divisible by 9.