124 LearnersLast updated on May 26th, 2025
Divisibility Rule of 84
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 84.
What is the Divisibility Rule of 84?
The divisibility rule for 84 is a method by which we can find out if a number is divisible by 84 or not without using the division method. To determine if a number is divisible by 84, it must be divisible by its prime factors: 2, 3, and 7. Check whether 168 is divisible by 84 with the divisibility rule.
Step 1: Apply the divisibility rule for 2. Check if the last digit is even. In 168, 8 is even, so it is divisible by 2.
Step 2: Apply the divisibility rule for 3. Sum the digits of the number, i.e., 1+6+8=15. Since 15 is divisible by 3, 168 is divisible by 3.
Step 3: Apply the divisibility rule for 7. Double the last digit and subtract it from the rest of the number. Here, 8×2=16, and 16 subtracted from 16 (the remaining digits) is 0, which is a multiple of 7.
Since 168 is divisible by 2, 3, and 7, it is divisible by 84.
Tips and Tricks for Divisibility Rule of 84
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 84.
Know the divisibility rules for 2, 3, and 7:
Ensure a number is divisible by all three to confirm divisibility by 84.
Use the divisibility rules sequentially:
Check divisibility by 2, then 3, then 7.
Repeat the process for large numbers:
For large numbers, apply each divisibility rule in sequence.
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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 84
The divisibility rule of 84 helps us quickly check if a given number is divisible by 84, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all required divisibility rules
Make sure to apply the divisibility rules for 2, 3, and 7.
Divisibility Rule of 84 Examples
Problem 1
Is the product of 42 and 2 divisible by 84?
Yes, the product of 42 and 2 is divisible by 84.
Explanation
First, calculate the product of 42 and 2, which is 84. Since 84 is the number itself, it is obviously divisible by 84.
Problem 2
Can 168 be evenly divided by 84?
Yes, 168 is divisible by 84.
Explanation
To check if 168 is divisible by 84, divide 168 by 84. The result is 2, which is a whole number. Therefore, 168 is divisible by 84.
Problem 3
Is the sum of 252 and 84 divisible by 84?
Yes, the sum of 252 and 84 is divisible by 84.
Explanation
First, calculate the sum of 252 and 84, which is 336. Since 336 divided by 84 equals 4, which is a whole number, 336 is divisible by 84.
Problem 4
Does the number 420 follow the divisibility rule of 84?
No, 420 does not follow the divisibility rule of 84.
Explanation
To check if 420 is divisible by 84, divide 420 by 84. The result is 5 with a remainder, indicating 420 is not divisible by 84.
Problem 5
Check if 672 follows the divisibility rule of 84.
Yes, 672 is divisible by 84.
Explanation
Divide 672 by 84, and the result is 8, which is a whole number. Thus, 672 is divisible by 84.
FAQs on Divisibility Rule of 84
1.What is the divisibility rule for 84?
2.How many numbers are there between 1 and 100 that are divisible by 84?
3.Is 168 divisible by 84?
4.What if I get 0 after a divisibility check?
5.Does the divisibility rule of 84 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 84?
7.What are some fun ways kids in United States can practice Divisibility Rule of 84 with numbers?
8.What role do numbers and Divisibility Rule of 84 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 84 skills?
Important Glossaries for Divisibility Rule of 84
- Divisibility rule: The set of guidelines used to determine whether a number is divisible by another without performing division.
- Prime Factors: Basic numbers like 2, 3, and 7 that multiply to form a composite number like 84.
- Multiple: A number that can be divided by another number without leaving a remainder.
- Integer: A whole number that can be positive, negative, or zero.
- Subtraction: The process of finding the difference between numbers, crucial in the divisibility rule for 7.
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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.
