209 LearnersLast updated on May 26th, 2025
Divisibility Rule of 610
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 610.
What is the Divisibility Rule of 610?
The divisibility rule for 610 is a method by which we can find out if a number is divisible by 610 or not without using the division method. Check whether 3050 is divisible by 610 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 5, and 61. If a number is divisible by 2, 5, and 61, then it is divisible by 610.
For 3050, check divisibility by 2: The number ends in 0, which is even, so it is divisible by 2.
Check divisibility by 5: The number ends in 0, which is divisible by 5.
Check divisibility by 61: Divide 3050 by 61 using the division method. 3050 ÷ 61 = 50, which is an integer, so it is divisible by 61.
Step 2: Since 3050 is divisible by 2, 5, and 61, it is divisible by 610.
Tips and Tricks for Divisibility Rule of 610
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 610.
- Know the multiples of 610: Memorize the multiples of 610 (610, 1220, 1830, 2440, 3050…etc.) to quickly check divisibility. If a number matches one of these multiples, it is divisible by 610.
- Use the prime factors: A number is divisible by 610 if it is divisible by 2, 5, and 61. This is because 610 = 2 × 5 × 61. So checking for these prime factors can help.
- Repeat the process for large numbers: For large numbers, first, check divisibility by 2, 5, and 61 separately, and if they all divide the number, then it is divisible by 610.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 610
The divisibility rule of 610 helps us quickly check if the given number is divisible by 610, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not checking divisibility for all factors.
Students should ensure they check divisibility by 2, 5, and 61.
Mistake 2
Miscalculating division for individual factors.
Double-check your calculations when dividing by 2, 5, and 61.
Mistake 3
Confusing factors or forgetting steps.
Keep a list of steps handy and practice regularly to remember the factors involved.
Mistake 4
Ignoring large numbers without simplification.
Break down large numbers and check divisibility with each factor.
Mistake 5
Overlooking the importance of checking all factors.
Remember that 610 is composed of 2, 5, and 61, so all must be checked for divisibility.
Divisibility Rule of 610 Examples
Problem 1
Is the year 1830 divisible by 610?
No, 1830 is not divisible by 610.
Explanation
To check if 1830 is divisible by 610, follow the steps:
1) Divide the number by 610 directly, since 610 is not a single-digit number.
2) Calculate 1830 ÷ 610 = 3 with a remainder of 0.
Since there is a remainder, 1830 is not divisible by 610.
Problem 2
Check if the weight 2440 grams can be evenly divided by a package size of 610 grams each.
Yes, 2440 grams is divisible by 610.
Explanation
To check if 2440 is divisible by 610:
1) Perform a direct division: 2440 ÷ 610 = 4 with no remainder.
Since the division is exact, 2440 grams can be evenly divided into packages of 610 grams each.
Problem 3
Is the number of pages, 3050, in a book divisible by 610?
No, 3050 is not divisible by 610.
Explanation
To determine if 3050 is divisible by 610:
1) Divide the number directly: 3050 ÷ 610 = 5 with a remainder of 0.
Since there is a remainder, 3050 is not divisible by 610.
Problem 4
Can the distance of 1220 miles be divided evenly by 610 miles per trip?
Yes, 1220 miles is divisible by 610.
Explanation
To check if 1220 miles is divisible by 610:
1) Divide the distance by the trip length: 1220 ÷ 610 = 2 with no remainder.
Since there is no remainder, the distance can be evenly divided by 610 miles per trip.
Problem 5
Check if the production batch of 4270 units is divisible by 610 units per box.
No, 4270 is not divisible by 610.
Explanation
To find out if 4270 is divisible by 610:
1) Perform a division: 4270 ÷ 610 = 7 with a remainder of 0.
Since there is a remainder, 4270 units cannot be evenly divided into boxes of 610 units each.
FAQs on Divisibility Rule of 610
1.What is the divisibility rule for 610?
2.Is 2440 divisible by 610?
3.How many numbers between 1 and 5000 are divisible by 610?
4.Is 1220 divisible by 610?
5.Does the divisibility rule of 610 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 610?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 610 with numbers?
8.What role do numbers and Divisibility Rule of 610 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 610 skills?
Important Glossaries for Divisibility Rule of 610
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 610 are 610, 1220, 1830, etc.
- Prime factors: The prime numbers that multiply together to give the original number. For 610, these are 2, 5, and 61.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Division: A mathematical operation where a number is divided into equal parts or groups.
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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.
