Divisibility Rule of 380

The divisibility rule for 380 is a method by which we can find out if a number is divisible by 380 or not without using the division method. Check whether 760 is divisible by 380 with the divisibility rule.  

Step 1: A number must be divisible by both 10 and 38 to be divisible by 380. First, check the divisibility by 10; a number is divisible by 10 if it ends in 0. Here, 760 ends in 0.

Step 2: Next, check the divisibility by 38. Divide the number formed by the remaining digits (76) by 38. Here, 76 ÷ 38 = 2, which is an integer.

Step 3: As both conditions are satisfied, 760 is divisible by 380.

Learning the divisibility rule will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 380.

• Know the multiples of 380:  Memorize the multiples of 380 (380, 760, 1140, 1520…etc.) to quickly check the divisibility. If the result of the division by 38 is an integer and the number ends in 0, then the number is divisible by 380.
   
• Use the divisibility rules of 10 and 38 separately:  Check a number's divisibility by 380 by verifying its divisibility by 10 and 38 separately.
   
• Repeat the process for large numbers:  Students should keep repeating the divisibility process until they reach a small number that is divisible by 380.
  
  For example: Check if 3040 is divisible by 380 using the divisibility test.  
  
  First, check for divisibility by 10: 3040 ends in 0. 
  
  Next, check for divisibility by 38: 304 ÷ 38 = 8, which is an integer.  
  
  Thus, 3040 is divisible by 380.
   
• 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: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 10 if it ends with 0.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example: multiples of 380 are 380, 760, 1140…
   
• Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
   
• Division: Division is the operation of determining how many times one number is contained within another.
   
• Calculation: The process of using mathematics to find an answer.