Divisibility Rule of 838

The divisibility rule for 838 is a method that allows us to determine if a number is divisible by 838 without using division. Let's check whether 2514 is divisible by 838 using the divisibility rule.

Step 1: Multiply the last three digits of the number by 2. Here, in 2514, the last three digits are 514. Multiply it by 2: 514 × 2 = 1028.

Step 2: Subtract the result from Step 1 from the remaining part of the number, excluding the last three digits. So, subtract 1028 from 2 (since 2 is the remaining part of the number): 2 - 1028 = -1026.

Step 3: If the result is a multiple of 838 or zero, then the number is divisible by 838. Since -1026 is not a multiple of 838, 2514 is not divisible by 838.

Learning the divisibility rule can help students master division. Let’s learn a few tips and tricks for the divisibility rule of 838.

Know the multiples of 838:

Memorize the multiples of 838 (838, 1676, 2514, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 838, then the number is divisible by 838.

Use absolute values:

If the result after subtraction is negative, consider its absolute value for checking divisibility.

Repeat the process for large numbers:

Students should repeat the divisibility process until they reach a smaller number that can easily be checked for divisibility by 838. 

Use the division method to verify:

Students can use the division method to verify and cross-check their results, ensuring accuracy.
 

• Divisibility rule: A set of guidelines used to determine if a number is divisible by another without performing division.
   
• Multiples: Results obtained by multiplying a number by integers, such as multiples of 838 (838, 1676, 2514, etc.).
   
• Absolute value: The non-negative value of a number, regardless of its sign, used in calculations.
   
• Subtraction: The process of finding the difference between numbers by deducting one from another.
   
• Integer: A whole number that can be positive, negative, or zero.