Divisibility Rule of 378

The divisibility rule for 378 is a method by which we can determine if a number is divisible by 378 without using the division method. Check whether 756 is divisible by 378 with the divisibility rule.
 

Step 1: Check if the number is divisible by 2. Here, 756 ends in 6, which is even, so it is divisible by 2.
 

Step 2: Check if the number is divisible by 3. Add the digits of 756 (7 + 5 + 6 = 18), which is divisible by 3, so 756 is divisible by 3.
 

Step 3: Check if the number is divisible by 7. Follow the divisibility rule for 7: double the last digit (6 x 2 = 12) and subtract from the rest of the number (75 - 12 = 63), which is divisible by 7. Therefore, 756 is divisible by 7.
 

Since 756 is divisible by 2, 3, and 7, it is divisible by 378 as well.
 

Learn divisibility rules to help master division. Let’s explore a few tips and tricks for the divisibility rule of 378.
 

• Know the multiples of 378: Memorize the multiples of 378 (378, 756, 1134, etc.) to quickly check divisibility. If the number matches a multiple, it is divisible by 378.
   
• Use the divisibility rules for 2, 3, and 7: Remember, a number divisible by 378 must be divisible by 2, 3, and 7 simultaneously.
   
• Repeat the process for large numbers: For larger numbers, repeat the divisibility tests until you find a small number that meets all the criteria.
   
• Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
   

• Divisibility rule: A set of guidelines to determine if a number can be divided by another without remainder.
   
• Multiple: The result of multiplying a number by an integer. For example, multiples of 378 are 378, 756, etc.
   
• Integer: Whole numbers, including negative numbers and zero.
   
• Subtraction: A mathematical operation of finding the difference between numbers.
   
• Sum of digits: The total obtained by adding all the digits in a number, used to check divisibility by 3.