Divisibility Rule of 312

The divisibility rule for 312 is a method by which we can find out if a number is divisible by 312 or not without using the division method. Check whether 936 is divisible by 312 with the divisibility rule.

Step 1: Check if the number is divisible by 3. For 936, sum the digits: 9+3+6=18, which is divisible by 3.

Step 2: Check if the number is divisible by 4. The last two digits of 936 are 36, and 36 is divisible by 4.

Step 3: Check if the number is divisible by 13. Divide 936 by 13; 936 ÷ 13 = 72, which is an integer.

Since 936 passes all these conditions, it is divisible by 312.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 312.

1. Know the multiples of 312:

Memorize some multiples of 312 (e.g., 312, 624, 936, etc.) to quickly check divisibility. If a number is a multiple of 312, it is divisible by 312.

2. Use the divisibility rules of 3, 4, and 13:

For a number to be divisible by 312, it must be divisible by 3, 4, and 13. This makes it easier to check larger numbers.

3. Repeat the process for large numbers:

   Students should keep repeating the divisibility process for each sub-rule (3, 4, 13) until they reach a conclusion. 

4. 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 verify 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 3 if the sum of its digits is divisible by 3.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 312 are 312, 624, 936, etc.

• Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.

• Division: Division is the process of finding out how many times one number is contained within another.

• Factors: Factors are numbers that can be multiplied together to get another number. For example, factors of 312 include 3, 4, and 13.