Divisibility Rule of 369

The divisibility rule for 369 is a method by which we can determine if a number is divisible by 369 without using division. Check whether 1107 is divisible by 369 with the divisibility rule.
 

Step 1: Check if the number is divisible by both 3 and 9. To be divisible by 3, the sum of the digits must be a multiple of 3. To be divisible by 9, the sum of the digits must also be a multiple of 9.
 

Step 2: For 1107, add the digits: 1 + 1 + 0 + 7 = 9. Since 9 is divisible by both 3 and 9, proceed to the next step.
 

Step 3: Now check if the number is divisible by 41. Divide 1107 by 41. If the quotient is a whole number, then 1107 is divisible by 369. In this case, 1107 ÷ 41 = 27, which is a whole number.

Therefore, 1107 is divisible by 369.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 369.
 

• Know the multiples of 369: Memorize the multiples of 369 (369, 738, 1107, etc.) to quickly check divisibility. If the result of the division is a whole number, then the number is divisible by 369.
   
• Use the divisibility rules for 3 and 9: Since divisibility by 369 requires divisibility by both 3 and 9, always start by checking these two rules. If a number fails either test, it is not divisible by 369.
   
• Practice with smaller numbers: Begin with smaller numbers to understand the concept before moving on to larger numbers.
   
• Verify with division: Always use the division method to verify and cross-check your results. This will help ensure accuracy and reinforce learning.
   

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number without division.
   
• Multiple: A number that can be divided by another number without leaving a remainder.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Sum: The result of adding two or more numbers.
   
• Quotient: The result obtained by dividing one number by another.