Last updated on May 26th, 2025
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the 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.
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.
Remember the prime factorization of 308 (2, 2, 7, 11) to break down the divisibility checks into simpler parts.
For larger numbers, break them down and repeatedly apply the divisibility tests for 4, 7, and 11 until a conclusion is reached.
Students can use the division method to verify and cross-check their results. This will help them confirm their understanding.
The divisibility rule of 308 helps us quickly check if a given number is divisible by 308, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 1232 divisible by 308?
No, 1232 is not divisible by 308.
To check if 1232 is divisible by 308, we can use a direct division approach because 308 doesn’t have a simple small-factor divisibility rule. Dividing 1232 by 308 gives approximately 4.00, indicating it's not an integer, hence 1232 is not divisible by 308.
Check the divisibility rule of 308 for 1848
Yes, 1848 is divisible by 308.
To check divisibility of 1848 by 308, divide 1848 by 308. The division yields exactly 6, which is an integer. Therefore, 1848 is divisible by 308.
Is 616 divisible by 308?
Yes, 616 is divisible by 308.
For checking the divisibility of 616 by 308, divide 616 by 308. The result is exactly 2, which is an integer, so 616 is divisible by 308.
Can 924 be divisible by 308?
Yes, 924 is divisible by 308.
To determine if 924 is divisible by 308, divide 924 by 308. The quotient is 3, which confirms that 924 is divisible by 308.
Check the divisibility rule of 308 for 1024.
No, 1024 is not divisible by 308.
When checking the divisibility of 1024 by 308, divide 1024 by 308. The result is approximately 3.32, which is not an integer, hence 1024 is not divisible by 308.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.