Divisibility Rule of 86

The divisibility rule for 86 is a technique to verify if a number is divisible by 86 without using direct division. Let's check if 5162 is divisible by 86 using the divisibility rule.

Step 1: Split the number into two parts. For 5162, we consider 51 and 62 as two parts.

Step 2: Check if each part is divisible by 86. Neither 51 nor 62 is divisible by 86.

Step 3: Since neither part is divisible by 86, 5162 is not divisible by 86.

Understanding the divisibility rule can help students master division. Here are some tips and tricks for the divisibility rule of 86:

• Know the multiples of 86: Memorize the multiples of 86 (86, 172, 258, 344, etc.) to quickly recognize divisibility.
   
• Combine division with estimation: Estimate if larger numbers are close to multiples of 86 to simplify calculations.
   
• Use smaller numbers: If the number is large, break it down into smaller parts to check each part separately for divisibility by 86.
   
• Verify using division: Students can use the division method to verify their results, ensuring the divisibility rule was applied correctly.

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
   
• Multiples: Numbers obtained by multiplying a given number by integers. For example, multiples of 86 are 86, 172, 258, etc.
   
• Estimation: A method of making an educated guess or approximation to simplify calculations.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Verification: The process of confirming the accuracy of results through additional calculations or methods.