Divisibility Rule of 390

The divisibility rule for 390 is a method by which we can find out if a number is divisible by 390 or not without using the division method. Check whether 780 is divisible by 390 with the divisibility rule.

Step 1: Ensure the number is divisible by 2, 3, and 5. Check divisibility for each:

- Divisibility by 2: The last digit of 780 is 0, which is even, hence divisible by 2.

- Divisibility by 3: Add the digits of 780 (7+8+0=15). Since 15 is divisible by 3, 780 is divisible by 3.

- Divisibility by 5: The last digit of 780 is 0, which is a multiple of 5, hence divisible by 5.

Step 2: Since 780 is divisible by 2, 3, and 5, it is divisible by 390.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 390.

• Know the multiples of 2, 3, and 5: Memorize the multiples of these numbers to quickly check divisibility.
   
• Break it down: Since 390 = 2 × 3 × 5 × 13, ensure the number is divisible by 2, 3, and 5 first, simplifying the problem.
   
• Verify divisibility by 13: If the number passes the tests for 2, 3, and 5, check divisibility by 13 for complete verification.
   
• Repeat the process for larger numbers: For example, check if 9360 is divisible by 390 using the divisibility test:
  
  - Divisibility by 2: Last digit is 0, divisible by 2.
  
  - Divisibility by 3: Sum of digits is 18, divisible by 3.
  
  - Divisibility by 5: Last digit is 0, divisible by 5. 
  
  - Divisibility by 13: 9360 ÷ 13 = 720, which is an integer.
   
• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
   
• Multiples: Results obtained after multiplying a number by an integer.
   
• Integers: Numbers that include whole numbers, negative numbers, and zero.
   
• Factors: Numbers that divide another number completely without leaving a remainder.
   
• Division: The mathematical operation of dividing one number by another.