Divisibility Rule of 118

The divisibility rule for 118 is a method by which we can determine if a number is divisible by 118 without using the division method. Check whether 236 is divisible by 118 using the divisibility rule.

Step 1: Since 118 is not a typical number for which a simple rule exists, you would need to check if both 2 and 59 (the prime factors of 118) divide the number.  

Step 2: For divisibility by 2, check if the last digit is even. Here, 6 is even.  

Step 3: For divisibility by 59, a less common rule would involve direct division or approximation methods, as such simple rules are not established for prime numbers like 59.  

Step 4: Since 236 divided by 59 equals 4 with a remainder of 0, 236 is divisible by 118.

Learning divisibility rules can help students master division. Here are a few tips and tricks for divisibility by 118:

Know the factors of 118:

Memorize that 118 = 2 × 59. Ensure the number is divisible by both 2 and 59.

Use approximations:

For checking divisibility by numbers like 59, use estimation or direct division.

Break down large numbers:

For large numbers, break them down into smaller parts to check divisibility by each factor.

Use the division method to verify:

Always crosscheck by performing the actual division to ensure accuracy.

• Divisibility rule: A set of guidelines used to determine if a number can be divided by another without a remainder.

• Prime factor: A factor that is a prime number, used here to simplify checking divisibility by 118 (e.g., 2 and 59).

• Even number: A number divisible by 2, necessary for checking divisibility by 118.

• Approximation: A method to estimate divisibility when no straightforward rule exists.

• Remainder: The amount left over after division, indicating non-divisibility if non-zero.