176 LearnersLast updated on May 26th, 2025
Divisibility Rule of 142
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 142.
What is the Divisibility Rule of 142?
The divisibility rule for 142 is a method by which we can determine if a number is divisible by 142 without using the division method. Check whether 35504 is divisible by 142 with the divisibility rule.
Step 1: Separate the number into groups of three digits from the right end, here in 35504, the groups are 35 and 504.
Step 2: Calculate the difference between these groups. 504 - 35 = 469.
Step 3: As 469 is not divisible by 142, therefore, the number is not divisible by 142. If the result from step 2 is a multiple of 142, then the number is divisible by 142.
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Tips and Tricks for Divisibility Rule of 142
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 142.
- Know the multiples of 142: Memorize the multiples of 142 (142, 284, 426, 568, etc.) to quickly check divisibility. If the result from subtraction is a multiple of 142, then the number is divisible by 142.
- Use negative numbers: If the result we get after 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 142.
For example, check if 19968 is divisible by 142 using the divisibility test. Separate into groups: 19 and 968. Subtract: 968 - 19 = 949. Still, 949 needs checking, so separate into groups: 9 and 49. Subtract: 49 - 9 = 40. As 40 is not a multiple of 142, 19968 is not divisible by 142.
- Use the division method to verify: Students can use the division method 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 142
The divisibility rule of 142 helps us to quickly check if the given number is divisible by 142, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: separating the number into groups and checking the difference to see if it is a multiple of 142.
Mistake 2
Including extra digits in subtraction.
Students should keep in mind that they should only subtract the specific groups formed from the number.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number. The process should be repeated until we get a smaller number to check for divisibility.
Mistake 4
Not considering the negative values.
Students consider negative values thinking divisibility rules don't apply to them. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid this error, students should practice regularly.
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Divisibility Rule of 142 Examples
Problem 1
Is 284 divisible by 142?
Yes, 284 is divisible by 142.
Explanation
To determine if 284 is divisible by 142, divide the number directly. The result is exactly 2 with no remainder, meaning 284 is divisible by 142.
Problem 2
Can 426 be divided evenly by 142?
Yes, 426 is divisible by 142.
Explanation
When checking 426 for divisibility by 142, divide 426 by 142, resulting in 3 with no remainder. This confirms that 426 is divisible by 142.
Problem 3
Is -710 divisible by 142?
Yes, -710 is divisible by 142.
Explanation
Despite being negative, the divisibility check for -710 involves removing the negative sign and dividing 710 by 142. The result is exactly 5, confirming divisibility.
Problem 4
Check if 570 is divisible by 142.
No, 570 is not divisible by 142.
Explanation
Dividing 570 by 142 yields a quotient with a remainder, indicating that 570 is not divisible by 142 without a remainder.
Problem 5
Is 994 divisible by 142?
Yes, 994 is divisible by 142.
Explanation
To verify the divisibility of 994 by 142, divide 994 by 142. The division results in a whole number 7, confirming that 994 is divisible by 142.
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FAQs on Divisibility Rule of 142
1.What is the divisibility rule for 142?
2.How many numbers are there between 1 and 1000 that are divisible by 142?
3.Is 426 divisible by 142?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 142 apply to all integers?
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Important Glossaries for Divisibility Rule of 142
- Divisibility Rule: A set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 142 are 142, 284, 426, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Difference: The result obtained from subtracting one number from another, used in checking for divisibility.
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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.
