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145 LearnersLast updated on February 13th, 2025
Divisibility Rule of 307
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 307.
What is the Divisibility Rule of 307?
The divisibility rule for 307 is a method by which we can determine if a number is divisible by 307 or not without using the division method. Check whether 921 is divisible by 307 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2. Here in 921, 1 is the last digit, so multiply it by 2. 1 × 2 = 2.
Step 2: Subtract the result from Step 1 with the remaining values but do not include the last digit. i.e., 92 - 2 = 90.
Step 3: As 90 is not a multiple of 307, the number is not divisible by 307. If the result from step 2 is a multiple of 307, then the number is divisible by 307.
Tips and Tricks for Divisibility Rule of 307
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 307.
Know the multiples of 307:
Memorize the multiples of 307 (307, 614, 921, 1228, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 307, then the number is divisible by 307.
Use the negative numbers:
If the result we get after the subtraction is negative, we will avoid the symbol and consider it as positive for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is divisible by 307. For example: Check if 1842 is divisible by 307 using the divisibility test.
Multiply the last digit by 2, i.e., 2 × 2 = 4.
Subtract the remaining digits excluding the last digit by 4, 184 - 4 = 180.
Still, 180 is a large number, hence we will repeat the process again and multiply the last digit by 2, 0 × 2 = 0.
Now subtracting 0 from the remaining numbers excluding the last digit, 18 - 0 = 18.
As 18 is not a multiple of 307, 1842 is not divisible by 307.
Use the division method to verify:
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 307
The divisibility rule of 307 helps us to quickly check if the given number is divisible by 307, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps which involve multiplying the last digit with 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 307.
Divisibility Rule of 307 Examples
Problem 1
Is 921 divisible by 307?
Yes, 921 is divisible by 307.
Explanation
To check if 921 is divisible by 307, we apply the divisibility rule.
1) Consider the last three digits of the number, which is 921.
2) Since the entire number is composed of these three digits, we check directly if 921 is divisible by 307.
3) 921 ÷ 307 = 3, which is an integer. Therefore, 921 is divisible by 307.
Problem 2
Check the divisibility rule of 307 for 1842.
Yes, 1842 is divisible by 307.
Explanation
To determine if 1842 is divisible by 307, we follow these steps:
1) Look at the last three digits, which is 842.
2) Since 842 is less than 307, consider the entire number 1842.
3) 1842 ÷ 307 = 6, which is an integer. Therefore, 1842 is divisible by 307.
Problem 3
Is 614 divisible by 307?
Yes, 614 is divisible by 307.
Explanation
To check if 614 is divisible by 307, we apply the divisibility rule.
1) Consider the last three digits, which is 614.
2) 614 ÷ 307 = 2, which is an integer. Therefore, 614 is divisible by 307.
Problem 4
Can 1254 be divisible by 307 following the divisibility rule?
No, 1254 isn't divisible by 307
Explanation
To determine if 1254 is divisible by 307:
1) Look at the last three digits, which is 254.
2) Since 254 is less than 307, consider the entire number 1254.
3) 1254 ÷ 307 ≈ 4.085, which is not an integer. Therefore, 1254 is not divisible by 307.
Problem 5
Check the divisibility rule of 307 for 9210.
Yes, 9210 is divisible by 307.
Explanation
To determine if 9210 is divisible by 307:
1) Consider the last three digits, which is 210.
2) Since 210 is less than 307, consider the entire number 9210.
3) 9210 ÷ 307 = 30, which is an integer. Therefore, 9210 is divisible by 307.
FAQs on Divisibility Rule of 307
1. What is the divisibility rule for 307?
2. How many numbers are there between 1 and 1000 that are divisible by 307?
3.Is 614 divisible by 307?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 307 apply to all integers?
Important Glossaries for Divisibility Rule of 307
- Divisibility rule: A 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 307 are 307, 614, 921, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding the difference between two numbers by reducing one number from another.
- Verification: A process of confirming the validity of a method or result, often used to ensure that a divisibility test has been performed correctly.
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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.
