Divisibility Rule For 9-Nine is a special number. It’s the highest single-digit number, and it has some cool mathematical properties. One of those properties is the divisibility rule for 9.

Rules of divisibility for 9 says that if the sum of all the digits in a number is divisible by 9, then the entire number is divisible by 9. For example, the number 99 is divisible by 9 because 9 + 9 = 18, and 18 is divisible by 9.

The rule also works in reverse.

## Divisibility Rule For 9

The divisibility rule for 9 is simple: if the sum of the digits of a number is divisible by 9, then the number is also divisible by 9. PDF

For example, let’s take the number 123. The sum of its digits is 6 (1+2+3=6), which is divisible by 9. Therefore, 123 is also divisible by 9.

This rule can be applied to any number, no matter how big or small. All you need to do is add up all the digits in the number and check if it’s divisible by 9.

This rule can come in handy when you’re trying to quickly calculate whether a large number is divisible by 9.

### Examples of Divisibility Rule of 9

There are a few different divisibility rules for 9, but they all essentially boil down to the fact that if the sum of all the digits is divisible by 9, then the number itself is divisible by 9.

For example, let’s take the number 123. The sum of all the digits is 6, which is not divisible by 9. Therefore, 123 is not divisible by 9.

On the other hand, let’s take the number 1212. The sum of all the digits is 6, which is divisible by 9. Therefore, 1212 is divisible by 9.

There is a divisibility rule for 9 that states: “If the sum of all the digits is a multiple of 9, then the number is also a multiple of 9.” For example, let’s take the number 123. The sum of the digits is 6 (1+2+3=6), which is not a multiple of 9. Therefore, 123 is not a multiple of 9. However, if we take the number 1212, the sum of the digits is 9 (1+2+1+2=9), which IS a multiple of 9. Therefore, 1212 IS a multiple of 9.

It’s important for students to know and understand this rule because it will come in handy when they’re solving division problems involving numbers that are divisible by 9.

The number 9 is the highest single-digit number, and it has some cool mathematical properties. One of those properties is that it is divisible by 3. That means that if you take any number and divide it by 3, the answer will be a whole number if the number you started with was divisible by 9.

For example, let’s say we want to divide 72 by 3. We would get 24 because 72 divided by 3 is 24. Now let’s try 99. We would get 33 because 99 divided by 3 is 33. So, any time we want to check if a number is divisible by 9, we can just divide it by 3 and see if the answer is a whole number. PDF

Another property of 9 is that the sum of all of its digits will always be a multiple of 9.

What is the divisibility rule for 9 mentioned here for clarifying all doubts in this concept?

We can use this rule to quickly check if a number is a multiple of 9. Let’s try it with the number 36. When we divide 36 by 3, we get 12 with a remainder of 0. This means that 36 is evenly divisible by 9 and therefore, a multiple of 9.

Divisibility rule for nine with examples given here for your quick learning.

There’s a simple trick to remember the divisibility rule for nine: just add up the digits in the number you’re testing. If the sum is a multiple of 9, then the original number is too.

For example, let’s test the number 123. The sum of its digits is 6 (1+2+3=6), so 123 is not divisible by 9. PDF

Now let’s try another number, like 438. The sum of its digits is 15 (4+3+8=15), which is a multiple of 9, so 438 is divisible by 9.

Here’s another way to think of it: if you divide any number by 9, the remainder will be equal to the sum of its digits (provided that the sum isn’t itself a multiple of 9).