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Last updated on February 14th, 2025

Divisibility Rule of 610

Q: What is the divisibility rule for 610?

The divisibility rule for 610 is to check if a number is divisible by 2, 5, and 61. If it is divisible by all three, then it is divisible by 610.

Q: Is 2440 divisible by 610?

Yes, because 2440 is divisible by 2 (it ends in 0), by 5 (it ends in 0), and by 61 (2440 ÷ 61 = 40).

Q: How many numbers between 1 and 5000 are divisible by 610?

There are 8 numbers divisible by 610 between 1 and 5000. They are 610, 1220, 1830, 2440, 3050, 3660, 4270, and 4880.

Q: Is 1220 divisible by 610?

Yes, because 1220 is divisible by 2, 5, and 61.

Q: Does the divisibility rule of 610 apply to all integers?

Yes, the divisibility rule of 610 applies to all integers.

Professor Greenline Explaining Math Concepts

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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.

$divisibility rule of 610$

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

Divisibility Rule of 610 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Is the year 1830 divisible by 610?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

Check if the weight 2440 grams can be evenly divided by a package size of 610 grams each.

Explanation

Problem 3

Is the number of pages, 3050, in a book divisible by 610?

Explanation

Problem 4

Can the distance of 1220 miles be divided evenly by 610 miles per trip?

Explanation

Problem 5

Check if the production batch of 4270 units is divisible by 610 units per box.

Explanation

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?

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.