Divisibility Rule of 306

The divisibility rule for 306 is a method by which we can find out if a number is divisible by 306 or not without using the division method. Check whether 612 is divisible by 306 with the divisibility rule.

Step 1: Check if the number is divisible by 2. Here, 612 ends in 2, which is even, so it is divisible by 2.

Step 2: Check if the number is divisible by 3. Add the digits of the number: 6 + 1 + 2 = 9. Since 9 is divisible by 3, 612 is divisible by 3.

Step 3: Check if the number is divisible by 17. Use actual division to verify: 612 ÷ 17 = 36, which is a whole number.

Since 612 is divisible by 2, 3, and 17, it is divisible by 306.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 306

1. Know the prime factors of 306:

Memorize the prime factors of 306 (2, 3, 17) to quickly check the divisibility. If a number is divisible by these, it is divisible by 306.

2. Use multiplication to verify:

Calculate 306 as 2 × 3 × 17 to understand the rule better and check each factor.

3. Repeat the process for large numbers:

Students should keep repeating the divisibility process for each factor 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 confirm their findings.
 

• 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 306 if it is divisible by 2, 3, and 17.

• Prime factors: Prime numbers that multiply together to give the original number. For 306, these are 2, 3, and 17.

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

• Multiplication: The process of combining equal groups. It is used to determine the factors of a number.

• Verification: The process of confirming the accuracy of a result, often by using a secondary method like actual division.