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113 LearnersLast updated on February 15th, 2025
Divisibility Rule of 42
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 42.
What is the Divisibility Rule of 42?
The divisibility rule for 42 is a method by which we can find out if a number is divisible by 42 or not without using the division method. Check whether 252 is divisible by 42 with the divisibility rule.
Step 1: Check if the number is divisible by both 6 and 7.
For divisibility by 6, the last digit must be even, and the sum of the digits must be divisible by 3. For 252, the last digit is 2 (even), and the sum of the digits is 2 + 5 + 2 = 9, which is divisible by 3.
For divisibility by 7, double the last digit and subtract it from the rest of the number. For example, 2 × 2 = 4, and 25 - 4 = 21. Since 21 is divisible by 7, the rule holds.
Step 2: Since 252 meets both criteria, it is divisible by 42.
Tips and Tricks for Divisibility Rule of 42
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 42.
- Know the multiples of 42: Memorize the multiples of 42 (42, 84, 126, 168, 210, etc.) to quickly check the divisibility. If a number is a multiple of both 6 and 7, it is divisible by 42.
- Use the divisibility rules for 6 and 7: Use the divisibility rules for 6 and 7 to determine divisibility by 42. A number must meet both conditions.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by both 6 and 7.
- 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 42
Divisibility Rule of 42 Examples
Problem 1
Is the number of pages in a book, 420, divisible by 42?
Explanation
Problem 2
A club has 294 members. Can they be evenly divided into groups of 42?
Explanation
Problem 3
Is the total number of seats in a theater, 336, divisible by 42?
Explanation
Problem 4
A concert venue has 200 seats and wants to arrange them in sections of 42. Is this possible?
Explanation
Problem 5
A puzzle has 504 pieces. Can these pieces be arranged into sets of 42?
Explanation
FAQs on Divisibility Rule of 42
1.What is the divisibility rule for 42?
2.How many numbers are there between 1 and 100 that are divisible by 42?
3.Is 126 divisible by 42?
4.What if I get 0 after checking divisibility by 7?
5.Does the divisibility rule of 42 apply to all integers?
Important Glossaries for Divisibility Rule of 42.
- Divisibility rule: The set of rules used to determine if a number is divisible by another number without performing division.
- Multiples: Products obtained by multiplying a number by an integer. For example, multiples of 42 are 42, 84, 126, etc.
- Even number: A number that is divisible by 2.
- Sum of digits: The result of adding all the digits of a number together.
- 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.
