Divisibility Rule of 279

The divisibility rule for 279 is a method by which we can determine if a number is divisible by 279 without performing division. Let's check whether 83769 is divisible by 279 using this rule.

Step 1: Divide the number into groups of three digits from the right. In 83769, we have 069 and 083.

Step 2: Sum these groups: 69 + 83 = 152.

Step 3: If the result is a multiple of 279, then the number is divisible by 279. Since 152 is not a multiple of 279, 83769 is not divisible by 279.

Learning the divisibility rule helps students master division. Here are a few tips and tricks for the divisibility rule of 279.

• Know the multiples of 279: Memorize the multiples of 279 (279, 558, 837, etc.) to quickly check divisibility. If the sum from step 2 is a multiple of 279, then the number is divisible by 279.
   
• Use the negative values: If the sum after adding the groups is negative, 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 279. For example, check if 756837 is divisible by 279 using the divisibility test. Divide into groups: 837 and 756. Sum these groups: 837 + 756 = 1593. Since 1593 is still large, repeat the process: 593 + 1 = 594. Since 594 is not a multiple of 279, 756837 is not divisible by 279.
   
• Use the division method to verify: Students can use the division method to verify and cross-check their results, which will help them confirm and learn.
   

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number without division.
   
• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 279 are 279, 558, 837, etc.
   
• Sum: The result obtained by adding two or more numbers together.
   
• Grouping: The process of dividing numbers into specified sections or groups, such as dividing into groups of three digits.
   
• Verify: The process of confirming the truth or accuracy of a calculation or result.