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121 LearnersLast updated on February 17th, 2025
Divisibility Rule of 141
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 141.
What is the Divisibility Rule of 141?
The divisibility rule for 141 is a method by which we can find out if a number is divisible by 141 or not without using the division method. Check whether 8463 is divisible by 141 with the divisibility rule.
Step 1: Multiply the last two digits of the number by 2, here in 8463, 63 is the last two digits. Multiply them by 2: 63 × 2 = 126.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 84 – 126 = -42.
Step 3: As it is shown that -42 is not a multiple of 141, therefore, the number is not divisible by 141.
Tips and Tricks for Divisibility Rule of 141
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 141.
- Know the multiples of 141: Memorize the multiples of 141 (141, 282, 423, 564, 705…etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 141, then the number is divisible by 141.
- Use the negative numbers: If the result we get after subtraction is negative, we will ignore 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 141.
For example: Check if 12807 is divisible by 141 using the divisibility test. Multiply the last two digits by 2, i.e., 07 × 2 = 14. Subtract the remaining digits excluding the last two digits by 14, 128 – 14 = 114. Still, 114 is not a multiple of 141, so it is not divisible by 141.
- 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 141
The divisibility rule of 141 helps us to quickly check if the given number is divisible by 141, but common mistakes like calculation errors lead to incorrect results. 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 two digits by 2 and then subtracting the result from the remaining digits excluding the last two digits, and checking whether it is a multiple of 141.
Divisibility Rule of 141 Examples
Problem 1
Is 282 divisible by 141?
Yes, 282 is divisible by 141.
Explanation
To determine if 282 is divisible by 141, consider the divisibility rule:
1) Divide the number by 141 directly to see if there is no remainder.
2) 282 ÷ 141 = 2, with a remainder of 0.
3) Since there is no remainder, 282 is divisible by 141.
Problem 2
Check the divisibility rule of 141 for 564.
Yes, 564 is divisible by 141.
Explanation
For checking the divisibility rule of 141 for 564:
1) Divide 564 by 141 directly.
2) 564 ÷ 141 = 4, with a remainder of 0.
3) Since there is no remainder, 564 is divisible by 141.
Problem 3
Is -423 divisible by 141?
Yes, -423 is divisible by 141.
Explanation
To check if -423 is divisible by 141:
1) Remove the negative sign and divide the absolute value by 141.
2) 423 ÷ 141 = 3, with a remainder of 0.
3) Since there is no remainder, -423 is divisible by 141.
Problem 4
Can 1230 be divisible by 141 following the divisibility rule?
No, 1230 is not divisible by 141.
Explanation
To check if 1230 is divisible by 141:
1) Divide 1230 by 141.
2) 1230 ÷ 141 ≈ 8.723, with a remainder.
3) Since there is a remainder, 1230 is not divisible by 141.
Problem 5
Check the divisibility rule of 141 for 987.
No, 987 is not divisible by 141.
Explanation
To check the divisibility rule of 141 for 987:
1) Divide 987 by 141.
2) 987 ÷ 141 ≈ 7, with a remainder.
3) Since there is a remainder, 987 is not divisible by 141.
FAQs on Divisibility Rule of 141
1.What is the divisibility rule for 141?
2.How many numbers are there between 1 and 1000 that are divisible by 141?
3.Is 282 divisible by 141?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 141 apply to all the integers?
Important Glossaries for Divisibility Rule of 141
- 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 3 if the sum of its digits is a multiple of 3.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 141 are 141, 282, 423, 564, etc.
- Integers: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.
- Verification: The process of confirming the accuracy of a result, often 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.
