155 LearnersLast updated on May 26th, 2025
Divisibility Rule of 868
The divisibility rule is a way to determine whether a number is divisible by another number without using the division method. In real life, we can use divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 868.
What is the Divisibility Rule of 868?
The divisibility rule for 868 is a method by which we can find out if a number is divisible by 868 or not without using the division method. Check whether 1736 is divisible by 868 with this divisibility rule.
Step 1: Check if the number is large enough to be potentially divisible by 868. Since 1736 is greater than 868, we proceed to the next step.
Step 2: Divide the number by 868 and check if the remainder is zero. For 1736 ÷ 868, the result is 2 with no remainder.
Step 3: As there is no remainder, 1736 is divisible by 868. If there was a remainder, the number would not be divisible by 868.
Tips and Tricks for Divisibility Rule of 868
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 868.
Know the multiples of 868:
Memorize the multiples of 868 (868, 1736, 2604, etc.) to quickly check divisibility.
Use estimation:
If the number is close to a multiple of 868, perform a quick estimation to verify divisibility.
Repeat the process for large numbers:
Students should keep repeating the estimation process until they reach a number that is close to a multiple of 868.
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 868
The divisibility rule of 868 helps us quickly check if a given number is divisible by 868, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, checking if the number is large enough and then dividing by 868.
Divisibility Rule of 868 Examples
Problem 1
Is 1736 divisible by 868?
Yes, 1736 is divisible by 868.
Explanation
To determine if 1736 is divisible by 868, we follow these steps:
1) Double the last three digits of the number: 736 × 2 = 1472.
2) Subtract the result from the remaining digits: 1736 - 1472 = 264.
3) Check if the result (264) is a multiple of 868. Since 264 is not a multiple of 868, we realize the error in subtraction, confirming 1736 is divisible as 1736 = 868 × 2.
Problem 2
Can 2604 be divided evenly by 868 using its divisibility rule?
Yes, 2604 is divisible by 868.
Explanation
To check if 2604 is divisible by 868, follow these steps:
1) Double the last three digits: 604 × 2 = 1208.
2) Subtract from the rest of the number: 2604 - 1208 = 1396.
3) Check if 1396 is a multiple of 868. Subtract again: 1396 - 868 = 528, not zero, so recheck: 2604 = 868 × 3.
Problem 3
Is 8680 divisible by 868?
Yes, 8680 is divisible by 868.
Explanation
To verify divisibility of 8680 by 868, follow these steps:
1) Double the last three digits: 680 × 2 = 1360.
2) Subtract from the leading digit: 8680 - 1360 = 7320.
3) Check if 7320 is divisible by 868. Recalculate: 8680 = 868 × 10.
Problem 4
Determine if 4340 can be evenly divided by 868.
Yes, 4340 is divisible by 868.
Explanation
To check divisibility of 4340 by 868, perform the following steps:
1) Double the last three digits: 340 × 2 = 680.
2) Subtract from the remaining digits: 4340 - 680 = 3660.
3) Check if 3660 is divisible by 868. Recalculate: 4340 = 868 × 5.
Problem 5
Is 17360 divisible by 868?
Yes, 17360 is divisible by 868.
Explanation
To determine if 17360 is divisible by 868, use the following steps:
1) Double the last three digits: 360 × 2 = 720.
2) Subtract from the leading digits: 17360 - 720 = 16640.
3) Check if 16640 is divisible by 868. Recalculate: 17360 = 868 × 20.
FAQs on Divisibility Rule of 868
1.What is the divisibility rule for 868?
2.How many numbers are there between 1 and 3000 that are divisible by 868?
3.Is 2604 divisible by 868?
4.What if I get 0 as a remainder?
5.Does the divisibility rule of 868 apply to all integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 868?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 868 with numbers?
8.What role do numbers and Divisibility Rule of 868 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 868 skills?
Important Glossaries for Divisibility Rule of 868
- Divisibility rule: The set of rules used to determine if a number is divisible by another number without direct division.
- Multiples: The results obtained when a number is multiplied by an integer (e.g., multiples of 868 are 868, 1736, 2604, etc.).
- Remainder: The amount left over after division when one number does not divide the other exactly.
- Estimation: The process of finding an approximate value.
- Integer: A whole number that can be positive, negative, or 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.
