Divisibility Rule of 38

The divisibility rule for 38 is a method by which we can find out if a number is divisible by 38 or not without using the division method. Check whether 1520 is divisible by 38 with the divisibility rule.

Step 1: Check if the number is divisible by both 2 and 19, as 38 is the product of these two numbers.

Step 2: For divisibility by 2, the number should end in an even digit. In 1520, the last digit is 0, which is even, so it is divisible by 2.

Step 3: To check divisibility by 19, you can use the rule: double the last digit and subtract it from the rest of the number. Repeat this process until you get a small number. In 1520, the last digit is 0. Double it to get 0, and subtract from 152, resulting in 152. Repeat: double the last digit (2) to get 4, then 15 - 4 = 11. Since 11 is not divisible by 19, 1520 is not divisible by 38.
 

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 38.

• Know the multiples of 38: Memorize the multiples of 38 (38, 76, 114, 152, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 38, then the number is divisible by 38.
   
• Use negative numbers: If the result we get after subtraction is negative, ignore the sign and consider it as positive for checking divisibility.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 38.
  
  For example: Check if 3800 is divisible by 38 using the divisibility test. It ends with 0, so it's divisible by 2. For 19, double the last digit (0), subtract from 380 to get 380, then double the last digit (0), subtract from 38 to get 38. Since 38 is divisible by 19, 3800 is divisible by 38.
   
• 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 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 2 if the number ends with an even digit.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 38 are 38, 76, 114, 152, etc.
   
• Integers: Integers are the numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Even numbers: Numbers that end in 0, 2, 4, 6, or 8. They are divisible by 2.