223 LearnersLast updated on May 26th, 2025
Divisibility Rule of 642
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 642.
What is the Divisibility Rule of 642?
The divisibility rule for 642 is a method by which we can determine if a number is divisible by 642 without using the division method. Check whether 1926 is divisible by 642 with the divisibility rule.
Step 1: Split the number into groups of three digits from the right. Here in 1926, this forms two groups: 1 and 926.
Step 2: Check if each group is divisible by 642. In this case, 926 is not divisible by 642, so the number 1926 is not divisible by 642.
Step 3: If both groups are divisible by 642, then the original number is divisible by 642. If not, then it is not divisible by 642.
Tips and Tricks for Divisibility Rule of 642
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 642.
- Know the multiples of 642: Memorize the multiples of 642 (642, 1284, 1926, 2568, etc.) to quickly check the divisibility. If each group is a multiple of 642, then the original number is divisible by 642.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a result that clearly indicates divisibility by 642.
For example, if checking a larger number like 38520, split the number into groups: 38, 520. Check each group for divisibility by 642.
- 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 642
The divisibility rule of 642 helps us quickly check if a given number is divisible by 642, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of splitting the number into groups and checking each group for divisibility by 642.
Mistake 2
Incorrect grouping of digits.
Ensure the number is properly split into groups of three digits from the right.
Mistake 3
Not verifying each group separately.
Students should check each group individually for divisibility by 642 and not assume the result applies to the entire number.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget the steps; to avoid the error, students should practice regularly.
Mistake 5
Not knowing multiples of 642.
Memorize or have a reference for multiples of 642 to quickly verify divisibility.
Divisibility Rule of 642 Examples
Problem 1
Is 1284 divisible by 642?
Yes, 1284 is divisible by 642.
Explanation
To check if 1284 is divisible by 642, divide 1284 by 642. The result is 2 with no remainder, so 1284 is divisible by 642.
Problem 2
Check the divisibility rule of 642 for 3210.
No, 3210 is not divisible by 642.
Explanation
Divide 3210 by 642. The result is approximately 5.0015, which is not an integer, indicating that 3210 is not divisible by 642.
Problem 3
Is -642 divisible by 642?
Yes, -642 is divisible by 642.
Explanation
Consider the absolute value of -642, which is 642. Dividing 642 by 642 gives 1, an integer, so -642 is divisible by 642.
Problem 4
Can 1926 be divisible by 642 following the divisibility rule?
Yes, 1926 is divisible by 642.
Explanation
Divide 1926 by 642. The result is exactly 3 with no remainder, so 1926 is divisible by 642.
Problem 5
Check the divisibility rule of 642 for 6420.
Yes, 6420 is divisible by 642.
Explanation
Divide 6420 by 642. The result is exactly 10 with no remainder, confirming that 6420 is divisible by 642.
FAQs on Divisibility Rule of 642
1.What is the divisibility rule for 642?
2.How many numbers are there between 1 and 5000 that are divisible by 642?
3.Is 1284 divisible by 642?
4. What if a group is 0?
5.Does the divisibility rule of 642 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 642?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 642 with numbers?
8.What role do numbers and Divisibility Rule of 642 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 642 skills?
Important Glossaries for Divisibility Rule of 642
- Divisibility Rule: The set of rules used to determine whether a number is divisible by another number without performing division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 642 include 642, 1284, 1926, etc.
- Integers: Numbers that include all whole numbers and their negative counterparts, as well as zero.
- Grouping: The process of dividing a number into groups of digits to apply a divisibility rule.
- Verification: The act of checking the accuracy of a calculation or result, often by using another method such as division.
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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.
