Divisibility Rule of 308

The divisibility rule for 308 is a method by which we can find out if a number is divisible by 308 or not without using the division method. Check whether 924 is divisible by 308 with the divisibility rule.

Step 1: Recognize that 308 is composed of the prime factors 2, 2, 7, and 11. Thus, a number divisible by 308 must be divisible by 2, 2, 7, and 11.  

Step 2: Check divisibility by 4 (2 times 2): The last two digits of 924 form 24, which is divisible by 4.  

Step 3: Check divisibility by 7: Subtract twice the last digit from the rest of the number. For 924, 4 × 2 = 8, and 92 - 8 = 84, which is divisible by 7.  

Step 4: Check divisibility by 11: Alternately subtract and add the digits. For 924, 9 - 2 + 4 = 11, which is divisible by 11.  

Since 924 is divisible by 4, 7, and 11, it is divisible by 308.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 308.

1. Know the multiples of 308:  

Memorize some multiples of 308 (308, 616, 924, etc.) to quickly check divisibility. If the result from the checks is a multiple of 308, then the number is divisible by 308.

2. Use the prime factors:  

Remember the prime factorization of 308 (2, 2, 7, 11) to break down the divisibility checks into simpler parts.

3. Repeat the process for large numbers:  

For larger numbers, break them down and repeatedly apply the divisibility tests for 4, 7, and 11 until a conclusion is reached.

4. 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.

• Prime factors: The prime numbers that multiply together to give a certain number. For example, the prime factors of 308 are 2, 2, 7, and 11.

• Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 308 are 308, 616, 924, etc.

• Subtraction: A process of finding the difference between two numbers by reducing one number from another.

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