Divisibility Rule of 302

The divisibility rule for 302 is a method by which we can find out if a number is divisible by 302 or not without using the division method. Check whether 906 is divisible by 302 with the divisibility rule.

Step 1: Divide the number into parts where the last part has 3 digits (since 302 has 3 digits). Here, in 906, the entire number is considered as it is less than 1000.

Step 2: If possible, find a multiple of 302 that is close to 906. Here, 302 × 3 = 906.

Step 3: As shown, 906 is exactly 3 times 302, therefore, the number is divisible by 302. If the multiplication does not match the original number, then it is not divisible by 302.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 302.

Know the multiples of 302:

Memorize the multiples of 302 (302, 604, 906, …etc.) to quickly check the divisibility. If the result from multiplication matches the original number, then the number is divisible by 302.

Use approximation:

If the number is large, approximate it to the nearest known multiple of 302 and verify divisibility.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 302.

For example: Check if 2412 is divisible by 302 using the divisibility test. 

Divide the number into parts, focusing on multiples. Here, 302 × 8 = 2416. Since 2412 is less than 2416, adjust as needed to find that 302 × 7 = 2114. 

Thus, we see that 2412 is not divisible by 302.

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.

• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 302 are 302, 604, 906, etc.

• Approximation: Approximating involves estimating a number to a nearby known value for ease of calculation.

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

• Verification: Verification is the process of confirming the correctness of a calculation or estimation by using an alternative method, such as division.