Divisibility Rule of 938

The divisibility rule for 938 helps us determine if a number is divisible by 938 without performing division. To check whether a number like 1876 is divisible by 938 using this rule, follow these steps:

Step 1: Divide the number into groups, each containing three digits starting from the end. For 1876, we have the groups: 876 and 1.

Step 2: Multiply the number in the group with the least significant digits by 938. Here, 876 × 938 = 821088.

Step 3: Subtract the result from Step 2 with the number formed by the remaining groups. Here, subtract 821088 from 1: 1 - 821088 = -821087.

Step 4: If the result is 0 or a multiple of 938, then the original number is divisible by 938.

Learning the divisibility rule can help kids master division. Here are a few tips and tricks for the divisibility rule of 938:

Know the multiples of 938:

Memorize the multiples of 938 (938, 1876, 2814, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 938, then the number is divisible by 938.

Use the negative numbers:

If the result we get after subtraction is negative, consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 938. For example, check if 1876000 is divisible by 938 using the divisibility test. Divide into groups: 000 and 1876, then multiply 000 by 938 = 0. Subtract from 1876: 1876 - 0 = 1876. Since 1876 is a multiple of 938, 1876000 is divisible by 938.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This will help them verify and also learn.
 

• Divisibility rule: The set of rules used to determine whether a number is divisible by another without performing division.
   
• Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 938 are 938, 1876, 2814, etc.
   
• Integers: Integers include all whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is the process of finding the difference between two numbers by reducing one number from another.
   
• Division method: A mathematical process of determining how many times one number is contained within another.