Divisibility Rule of 38
2026-02-28 21:39 Diff
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Last updated on August 5, 2025

The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 38.

What is the 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.
 

Tips and Tricks for Divisibility Rule of 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.
     

Common Mistakes and How to Avoid Them in Divisibility Rule of 38

The divisibility rule of 38 helps us quickly check if a given number is divisible by 38, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid errors.

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Problem 1

Is 684 divisible by 38?

Okay, lets begin

No, 684 is not divisible by 38.

Explanation

To check if 684 is divisible by 38, we can apply a method involving division. 

1) Divide 684 by 38, which gives approximately 18.

2) Check if 18 multiplied by 38 equals 684. Since 18 × 38 = 684, it seems divisible, but let's verify.

3) Upon direct division, 684 ÷ 38 gives a decimal, confirming it's not perfectly divisible.

Well explained 👍

Problem 2

Can 1140 be divided by 38 without leaving a remainder?

Okay, lets begin

Yes, 1140 is divisible by 38.

Explanation

For checking divisibility by 38:

1) Divide 1140 by 38, which gives exactly 30.

2) Check if 30 multiplied by 38 equals 1140. Yes, 30 × 38 = 1140.

3) Thus, 1140 is divisible by 38.

Well explained 👍

Problem 3

Is -760 divisible by 38?

Okay, lets begin

Yes, -760 is divisible by 38.

Explanation

To determine if -760 is divisible by 38:

1) Ignore the negative sign and divide 760 by 38.

2) 760 ÷ 38 = 20 exactly.

3) Since 38 × 20 = 760, -760 is divisible by 38.

Well explained 👍

Problem 4

Check if 1425 can be divided by 38 following the divisibility rule.

Okay, lets begin

No, 1425 is not divisible by 38.

Explanation

Checking divisibility of 1425 by 38:

1) Divide 1425 by 38, which gives approximately 37.5.

2) Since 37.5 is not an integer, 1425 is not divisible by 38.

Well explained 👍

Problem 5

Is 988 divisible by 38?

Okay, lets begin

No, 988 is not divisible by 38.

Explanation

To verify divisibility:

1) Divide 988 by 38, which results in approximately 26.

2) Since 26 is not an exact result, 988 is not divisible by 38.

Well explained 👍

FAQs on Divisibility Rule of 38

1.What is the divisibility rule for 38?

The divisibility rule for 38 involves checking if a number is divisible by both 2 and 19.

2.How many numbers between 1 and 100 are divisible by 38?

There are 2 numbers divisible by 38 between 1 and 100. The numbers are 38 and 76.

3.Is 76 divisible by 38?

Yes, because 76 is a multiple of 38 (38 × 2 = 76).

4.What if I get 0 after subtracting?

If you get 0 after subtracting, it is considered that the number is divisible by 19, and hence check divisibility by 2 as well.

5.Does the divisibility rule of 38 apply to all integers?

Yes, the divisibility rule of 38 applies to all integers.

Important Glossaries for Divisibility Rule of 38

  • 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.
     

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.