Divisibility Rule of 338

The divisibility rule for 338 is a method by which we can find out if a number is divisible by 338 or not without using the division method. Check whether 676 is divisible by 338 with the divisibility rule.

Step 1: Identify the number's last three digits or the whole number if it has three or fewer digits. In 676, the number itself has only three digits.

Step 2: Check if this number (676) is a multiple of 338. If it is, then the original number is divisible by 338.

Step 3: As 676 is twice 338 (338 × 2 = 676), the number is divisible by 338. If the result from step 2 isn't a multiple of 338, then the number isn't divisible by 338.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 338.

• Know the multiples of 338: Memorize the multiples of 338 (338, 676, 1014, 1352, etc.) to quickly check divisibility. If the number you are checking is a multiple of 338, then it is divisible by 338.

• Use estimation for large numbers: If dealing with large numbers, approximate to the nearest 338 multiple to quickly assess divisibility.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 338.
  
  For example, check if 2030 is divisible by 338. The last three digits are 030, which is not a multiple of 338. Thus, 2030 is not divisible by 338.

• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.

• Divisibility rule: A set of guidelines 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 338 are 338, 676, 1014, etc.

• Approximation: Estimating a number to quickly assess its divisibility by checking its proximity to a known multiple.

• Verification: The process of confirming results by using an alternative method such as division.

• Digits: Individual numbers that make up a larger number, important for identifying specific portions for divisibility checks