170 LearnersLast updated on May 26th, 2025
Divisibility Rule of 851
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 851.
What is the Divisibility Rule of 851?
The divisibility rule for 851 is a method by which we can determine if a number is divisible by 851 without using the division method. Check whether 1702 is divisible by 851 with the divisibility rule.
Step 1: Check if the number can be written as a multiple of 851. For example, 1702 can be split into two parts: 851 multiplied by 2.
Step 2: If the number equals 851 times an integer, then it is divisible by 851. Here, since 1702 = 851 × 2, 1702 is divisible by 851.
Tips and Tricks for Divisibility Rule of 851
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 851.
Know the multiples of 851: Memorize the multiples of 851 (851, 1702, 2553, etc.) to quickly check divisibility. If the number is a multiple of 851, then it is divisible by 851.
Use estimation:
If you have a large number, estimate whether it is close to a multiple of 851. This can simplify your calculations.
Repeat the process for large numbers:
For large numbers, verify that the number can be expressed as a multiple of 851.
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 851
The divisibility rule of 851 helps us to quickly check if a given number is divisible by 851, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not confirming the number is a multiple of 851.
Ensure that the number can be represented as 851 times an integer.
Divisibility Rule of 851 Examples
Problem 1
Is 2553 divisible by 851?
Yes, 2553 is divisible by 851.
Explanation
To check if 2553 is divisible by 851, we can use the following method:
1) Divide the number 2553 by 851.
2) If the quotient is a whole number, then 2553 is divisible by 851.
3) Performing the division, 2553 ÷ 851 = 3, which is a whole number.
Therefore, 2553 is divisible by 851.
Problem 2
Check the divisibility rule of 851 for 4255.
No, 4255 is not divisible by 851.
Explanation
To check if 4255 is divisible by 851, follow these steps:
1) Divide 4255 by 851.
2) If the quotient is a whole number, then it is divisible. Otherwise, it is not.
3) Performing the division, 4255 ÷ 851 ≈ 4.999, which is not a whole number.
Therefore, 4255 is not divisible by 851.
Problem 3
Is -1702 divisible by 851?
No, -1702 is not divisible by 851.
Explanation
To determine if -1702 is divisible by 851, perform the following calculation:
1) Remove the negative sign and divide 1702 by 851.
2) If the result is a whole number, then it is divisible.
3) 1702 ÷ 851 = 2, which is a whole number.
However, since the original number was negative, we must check the absolute value:
4) -1702 is still not divisible by 851 because the negative factor is irrelevant in divisibility checks.
Problem 4
Can 5106 be divisible by 851 following the divisibility rule?
Yes, 5106 is divisible by 851.
Explanation
To determine divisibility of 5106 by 851, use this method:
1) Divide 5106 by 851.
2) Check if the quotient is a whole number.
3) 5106 ÷ 851 = 6, which is a whole number.
Therefore, 5106 is divisible by 851.
Problem 5
Check the divisibility rule of 851 for 1702.
Yes, 1702 is divisible by 851.
Explanation
To verify if 1702 is divisible by 851, proceed as follows:
1) Divide 1702 by 851.
2) Determine if the quotient is a whole number.
3) 1702 ÷ 851 = 2, which is a whole number.
Thus, 1702 is divisible by 851.
FAQs on Divisibility Rule of 851
1.What is the divisibility rule for 851?
2.Can you provide examples of numbers divisible by 851?
3.Is 2553 divisible by 851?
4.What if I have a large number?
5.How can children in Australia use numbers in everyday life to understand Divisibility Rule of 851?
6.What are some fun ways kids in Australia can practice Divisibility Rule of 851 with numbers?
7.What role do numbers and Divisibility Rule of 851 play in helping children in Australia develop problem-solving skills?
8.How can families in Australia create number-rich environments to improve Divisibility Rule of 851 skills?
Important Glossaries for Divisibility Rule of 851
- Divisibility Rule: The set of rules used to determine whether a number is divisible by another number without direct division.
- Multiples: Results obtained by multiplying a number by an integer.
- Estimation: Approximating a number to understand its properties better.
- Verification: The process of confirming a result's accuracy.
- Integer: Whole numbers, including negative numbers and zero.
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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.
