Divisibility Rule of 909

The divisibility rule for 909 is a method by which we can determine if a number is divisible by 909 without performing division. Let's check whether 2727 is divisible by 909 using this rule.

Step 1: Check if the number is divisible by 3 and 303. If both conditions are met, the number is divisible by 909.
- For 3: Add up all the digits of the number. If the sum is divisible by 3, then the number is divisible by 3. For 2727, 2+7+2+7=18, and 18 is divisible by 3.
- For 303: Check if the number is divisible by 101 (since 303=3×101). Use the divisibility rule of 101 on the same number. If it works, the number is divisible by 303.

Step 2: If 2727 is divisible by both 3 and 303, then it is divisible by 909

Learning the divisibility rule will help students master division. Let’s explore some tips and tricks for the divisibility rule of 909.

Know the factors:

Understand that 909=3×303. A number must be divisible by both 3 and 303 to be divisible by 909.

Use the sum of digits:

As mentioned, summing the digits helps quickly check divisibility by 3.

Check for divisibility by 101:

To verify divisibility by 303, use the rule for 101. If this condition is met, then check further for 303.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This will help them confirm and also learn.
 

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing division.

• Factors: Numbers that multiply together to produce another number. For 909, the factors are 3 and 303.

• Sum of digits: Adding all the digits of a number to check for divisibility by certain numbers, such as 3.

• Integer: A whole number that can be positive, negative, or zero.

• Verification: The process of confirming the result using an alternative method, such as division.