Divisibility Rule of 998

The divisibility rule for 998 is a method to find out if a number is divisible by 998 without performing division. Let's explore whether 2994 is divisible by 998 using the divisibility rule.

Step 1: Divide the given number into groups of three digits from right to left. In 2994, we have the groups: 2 and 994.

Step 2: Add these groups. Here, 2 + 994 = 996.

Step 3: Check if the sum 996 is a multiple of 998. Since 996 is not a multiple of 998, 2994 is not divisible by 998.

Learning the divisibility rule can help students master division. Here are some tips and tricks for the divisibility rule of 998:

Know the multiples of 998:

Memorize the multiples of 998 (998, 1996, 2994... etc.) to quickly check for divisibility. If the sum of the groups is a multiple of 998, then the number is divisible by 998.

Repeat the process for large numbers:

For large numbers, keep repeating the divisibility process until you reach a sum that is easy to compare with multiples of 998. For example, check if 1996000 is divisible by 998.

   - Break into groups of three digits: 1, 996, 000.
   - Add the groups: 1 + 996 + 0 = 997.
   - Since 997 is not a multiple of 998, 1996000 is not divisible by 998.

Use the division method to verify:

You can use the division method as a way to verify and cross-check your results. This will help confirm your findings and reinforce learning.
 

• Divisibility Rule: A set of rules used to determine whether a number is divisible by another number without performing full division.

• Multiples: Numbers that are the result of multiplying a given number by an integer. For example, multiples of 998 are 998, 1996, 2994, etc.

• Integer: A whole number that can be positive, negative, or zero.

• Grouping: The process of dividing a number into sets of digits, typically for simplifying operations like the divisibility rule.

• Verification: The process of confirming the accuracy of a result, often by using an alternative method like direct division.