209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 302
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 302.
What is the 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.
Tips and Tricks for Divisibility Rule of 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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 302
The divisibility rule of 302 helps us to quickly check if a given number is divisible by 302, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should identify parts of the number and compare with multiples of 302.
Mistake 2
Not approximating correctly.
Students should approximate large numbers to nearby multiples of 302 for initial checks.
Mistake 3
Not repeating the process when the result is ambiguous.
Students often stop the process after an initial check; however, they should continue the process to confirm the divisibility.
Mistake 4
Confusing multiplication when verifying.
Students should practice multiplication of 302 to avoid confusion and verify accurately.
Mistake 5
Forgetting to cross-check with division.
Students should use the division method to cross-verify results for accuracy.
Divisibility Rule of 302 Examples
Problem 1
Is 604 divisible by 302?
Yes, 604 is divisible by 302.
Explanation
To check if 604 is divisible by 302, we can use the straightforward method of checking divisibility by 302.
1) Divide 604 by 302 to see if the result is a whole number.
2) 604 ÷ 302 = 2, which is a whole number.
3) Therefore, 604 is divisible by 302.
Problem 2
Check the divisibility rule of 302 for 1510.
Yes, 1510 is divisible by 302.
Explanation
For checking the divisibility of 1510 by 302:
1) Divide 1510 by 302 to see if the quotient is an integer.
2) 1510 ÷ 302 = 5, which is a whole number.
3) Therefore, 1510 is divisible by 302.
Problem 3
Is -906 divisible by 302?
Yes, -906 is divisible by 302.
Explanation
To determine if -906 is divisible by 302:
1) Remove the negative sign and check the divisibility of 906.
2) Divide 906 by 302 to check for a whole number.
3) 906 ÷ 302 = 3, which is a whole number.
4) Therefore, -906 is divisible by 302.
Problem 4
Can 1234 be divisible by 302?
No, 1234 isn't divisible by 302.
Explanation
To check if 1234 is divisible by 302:
1) Divide 1234 by 302 to check for a whole number.
2) 1234 ÷ 302 ≈ 4.086, which is not a whole number.
3) Therefore, 1234 isn't divisible by 302.
Problem 5
Check the divisibility rule of 302 for 3020.
Yes, 3020 is divisible by 302.
Explanation
To verify if 3020 is divisible by 302:
1) Divide 3020 by 302 to see if the quotient is an integer.
2) 3020 ÷ 302 = 10, which is a whole number.
3) Therefore, 3020 is divisible by 302.
FAQs on Divisibility Rule of 302
1.What is the divisibility rule for 302?
2. How many numbers between 1 and 1000 are divisible by 302?
3.Is 906 divisible by 302?
4. What if I get a close multiple but not exact?
5.Does the divisibility rule of 302 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 302?
7.What are some fun ways kids in United States can practice Divisibility Rule of 302 with numbers?
8.What role do numbers and Divisibility Rule of 302 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 302 skills?
Important Glossaries for Divisibility Rule of 302
- 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.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
