Divisibility Rule of 249

The divisibility rule for 249 is a method by which we can find out if a number is divisible by 249 or not without using the division method.

Check whether 747 is divisible by 249 with the divisibility rule.  

Step 1: Break down 249 into its factors: 249 = 3 × 83.

Step 2: Check divisibility by 3: Add up all the digits of the number. If the sum is divisible by 3, proceed to the next step. For 747, 7 + 4 + 7 = 18, which is divisible by 3.

Step 3: Check divisibility by 83: Divide the number by 83 and check for a whole number. 747 ÷ 83 = 9, which is a whole number.

Step 4: Since 747 is divisible by both 3 and 83, it is divisible by 249.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 249.

Know the multiples of 249:

Memorize some multiples of 249 (249, 498, 747, etc.) to quickly check the divisibility.

Use divisibility rules of factors:

Utilize the divisibility rules for the factors of 249 (3 and 83) to simplify the process.

Repeat the process for larger numbers:

Students should keep applying the divisibility process by breaking down the number into smaller parts or checking factors.
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 to confirm their findings and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even number.
   
• Factors: Factors are numbers that divide a given number exactly without leaving any remainder. For example, the factors of 249 are 3 and 83.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 249 are 249, 498, 747, etc.
   
• Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
   
• Division: Division is the process of dividing a number into equal parts or groups. It is one of the four basic operations in arithmetic.