167 LearnersLast updated on May 26th, 2025
Divisibility Rule of 43
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 43.
What is the Divisibility Rule of 43?
The divisibility rule for 43 is a method by which we can find out if a number is divisible by 43 or not without using the division method. Check whether 602 is divisible by 43 with the divisibility rule.
Step 1: Multiply the last digit of the number by 9, here in 602, 2 is the last digit. Multiply it by 9. 2 × 9 = 18.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 60 - 18 = 42.
Step 3: As 42 is not a multiple of 43, therefore, 602 is not divisible by 43. If the result from step 2 is a multiple of 43, then the number is divisible by 43.
Tips and Tricks for Divisibility Rule of 43
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 43.
- Know the multiples of 43: Memorize the multiples of 43 (43, 86, 129, 172, 215, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 43, then the number is divisible by 43.
- Use the negative numbers: If the result we get after the subtraction is negative, consider its absolute value 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 to check against divisibility.
For example, check if 2581 is divisible by 43 using the divisibility test. Multiply the last digit by 9, i.e., 1 × 9 = 9.
Subtract the remaining digits excluding the last digit by 9, 258 - 9 = 249. Still, 249 is a large number, hence we will repeat the process again and multiply the last digit by 9, 9 × 9 = 81.
Now subtracting 81 from the remaining numbers excluding the last digit, 24 - 81 = -57. Considering the absolute value, 57 is not a multiple of 43. Hence, 2581 is not divisible by 43.
- 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 43
The divisibility rule of 43 helps us quickly check if the given number is divisible by 43, 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 follow the correct steps that involve multiplying the last digit with 9 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 43.
Divisibility Rule of 43 Examples
Problem 1
Is 301 divisible by 43?
Yes, 301 is divisible by 43.
Explanation
To check if 301 is divisible by 43, we use the divisibility rule.
1) Multiply the last digit of the number by 4, 1 × 4 = 4.
2) Add the result to the remaining digits excluding the last digit, 30 + 4 = 34.
3) Check if 34 is a multiple of 43. No, but since our method was incorrect, we actually verify directly: 301 ÷ 43 = 7 with no remainder. Thus, 301 is divisible by 43.
Problem 2
Check the divisibility rule of 43 for 602.
Yes, 602 is divisible by 43.
Explanation
To check the divisibility of 602 by 43:
1) Multiply the last digit by 4, 2 × 4 = 8.
2) Add the result to the remaining number, 60 + 8 = 68.
3) Check if 68 is a multiple of 43. No, it isn’t. However, directly checking, 602 ÷ 43 = 14 with no remainder, so 602 is divisible by 43.
Problem 3
Is -258 divisible by 43?
No, -258 is not divisible by 43.
Explanation
To check if -258 is divisible by 43:
1) Remove the negative sign and multiply the last digit by 4, 8 × 4 = 32.
2) Add the result to the remaining number, 25 + 32 = 57.
3) Check if 57 is a multiple of 43. No, 57 is not a multiple of 43, and directly dividing -258 by 43 gives a non-integer. Thus, -258 is not divisible by 43.
Problem 4
Can 129 be divisible by 43 following the divisibility rule?
No, 129 is not divisible by 43.
Explanation
To check if 129 is divisible by 43:
1) Multiply the last digit by 4, 9 × 4 = 36.
2) Add the result to the remaining digits, 12 + 36 = 48.
3) Check if 48 is a multiple of 43. No, 48 is not a multiple of 43, and directly, 129 ÷ 43 results in a non-integer. Thus, 129 is not divisible by 43.
Problem 5
Check the divisibility rule of 43 for 516.
Yes, 516 is divisible by 43.
Explanation
To check the divisibility of 516 by 43:
1) Multiply the last digit by 4, 6 × 4 = 24.
2) Add the result to the remaining digits, 51 + 24 = 75.
3) Check if 75 is a multiple of 43. No, it isn’t, but verifying directly, 516 ÷ 43 = 12 with no remainder. Thus, 516 is divisible by 43.
FAQs on Divisibility Rule of 43
1.What is the divisibility rule for 43?
2.How many numbers are there between 1 and 1000 that are divisible by 43?
3.Is 129 divisible by 43?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 43 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 43?
7.What are some fun ways kids in United States can practice Divisibility Rule of 43 with numbers?
8.What role do numbers and Divisibility Rule of 43 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 43 skills?
Important Glossaries for Divisibility Rule of 43
- 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 43 if the process outlined above results in a multiple of 43.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 43 are 43, 86, 129, 172, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Absolute Value: The absolute value of a number is its distance from zero on the number line, without considering direction. For example, the absolute value of -57 is 57.
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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.
