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121 LearnersLast updated on February 18th, 2025
Divisibility Rule of 872
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 872.
What is the Divisibility Rule of 872?
The divisibility rule for 872 is a method by which we can find out if a number is divisible by 872 or not without using the division method. Check whether 1744 is divisible by 872 with the divisibility rule.
Step 1: Separate the number into groups of three digits from the right. Here, 1744 can be split into 1 and 744.
Step 2: Add the values of each group. If the result is a multiple of 872, then the number is divisible by 872. For 1744, the sum is 1 + 744 = 745.
Step 3: As 745 is not a multiple of 872, therefore, the number is not divisible by 872.
Tips and Tricks for Divisibility Rule of 872
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 872.
Know the multiples of 872:
Memorize the multiples of 872 (872, 1744, 2616,... etc.) to quickly check divisibility. If the sum is a multiple of 872, then the number is divisible by 872.
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 872
The divisibility rule of 872 helps us quickly check if a given number is divisible by 872, 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 by separating the number into groups of three digits and then checking whether the sum is a multiple of 872.
Divisibility Rule of 872 Examples
Problem 1
Can 1744 be divided evenly by 872?
Yes, 1744 is divisible by 872.
Explanation
To check if 1744 is divisible by 872, follow these steps:
1) Divide 1744 by 2 repeatedly until you cannot anymore: 1744 / 2 = 872.
2) Check if the resulting number, 872, is equal to 872 itself, which it is.
3) Since 872 equals 872, 1744 is divisible by 872.
Problem 2
Is 2616 divisible by 872 using the divisibility rule?
Yes, 2616 is divisible by 872.
Explanation
To determine if 2616 is divisible by 872:
1) Divide 2616 by 2 repeatedly: 2616 / 2 = 1308; 1308 / 2 = 654.
2) Check if 654 is divisible by 3: 6 + 5 + 4 = 15; 15 is divisible by 3.
3) Since the remaining number is divisible by 3, 2616 is divisible by 872.
Problem 3
Check if 3488 is divisible by 872.
Yes, 3488 is divisible by 872.
Explanation
To verify if 3488 is divisible by 872:
1) Divide 3488 by 2 repeatedly: 3488 / 2 = 1744; 1744 / 2 = 872.
2) The result is 872, which is the original divisor.
3) Therefore, 3488 is divisible by 872.
Problem 4
Is 4360 divisible by 872?
No, 4360 is not divisible by 872.
Explanation
To check if 4360 is divisible by 872:
1) Divide 4360 by 2 repeatedly: 4360 / 2 = 2180; 2180 / 2 = 1090.
2) Check if 1090 is divisible by 872: 1090 / 872 does not result in an integer.
3) Since the division does not result in an integer, 4360 is not divisible by 872.
Problem 5
Can 5232 be divided evenly by 872?
Yes, 5232 is divisible by 872.
Explanation
To determine if 5232 is divisible by 872:
1) Divide 5232 by 2 repeatedly: 5232 / 2 = 2616; 2616 / 2 = 1308; 1308 / 2 = 654.
2) Check if 654 is divisible by 3: 6 + 5 + 4 = 15; 15 is divisible by 3.
3) As the remaining number is divisible by 3, 5232 is divisible by 872.
FAQs on Divisibility Rule of 872
1.What is the divisibility rule for 872?
2.How many numbers are there between 1 and 5000 that are divisible by 872?
3.Is 1744 divisible by 872?
4.What if I get 0 after adding the groups?
5.Does the divisibility rule of 872 apply to all integers?
Important Glossaries for Divisibility Rule of 872
- Divisibility rule: The 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 872 are 872, 1744, 2616, etc.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Addition: Addition is the process of calculating the total of two or more numbers or amounts.
- Separation: The act of dividing a number into groups or parts, usually for the purpose of calculation or analysis.
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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.
