Divisibility Rule of 344

The divisibility rule for 344 is a method by which we can determine if a number is divisible by 344 without using the division method. Check whether 688 is divisible by 344 using the divisibility rule.

Step 1: Check if the last number is divisible by 4. The last two digits, 88, are divisible by 4. 

Step 2: Divide the number by 344. If the quotient is an integer, then the number is divisible by 344. 

Step 3: As shown, 688 ÷ 344 = 2, which is an integer, therefore the number is divisible by 344. If the quotient isn't an integer, then the number isn't divisible by 344.

Learning the divisibility rule helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 344.

Know the multiples of 344:

Memorize the multiples of 344 (344, 688, 1032, 1376, etc.) to quickly check divisibility. If the division results in an integer, then the number is divisible by 344.

Check with smaller divisors:

If a number is divisible by 344, it must be divisible by 4 as well. Check divisibility by 4 first to simplify the process.

Use the process for large numbers:

Students should use the divisibility process until they confirm divisibility by 344. For example, check if 1376 is divisible by 344 using the divisibility test. Check if the last two digits, 76, are divisible by 4. They are, so proceed with the division: 1376 ÷ 344 = 4. As this is an integer, 1376 is divisible by 344.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This will help them confirm their understanding.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

• Multiples: The products obtained by multiplying a number by an integer. For example, multiples of 344 are 344, 688, 1032, etc.

• Integer: A whole number that can be positive, negative, or zero.

• Quotient: The result obtained by dividing one number by another.

• Verification: The process of confirming the accuracy of a result, often by using a different method.