109 LearnersLast updated on May 26th, 2025
Divisibility Rule of 605
The divisibility rule is a way to determine whether a number is divisible by another number without performing the division operation. In real life, we can use divisibility rules for quick calculations, dividing items evenly, and organizing things. In this topic, we will learn about the divisibility rule of 605.
What is the Divisibility Rule of 605?
The divisibility rule for 605 is a method by which we can find out if a number is divisible by 605 without using the division method. Check whether 1210 is divisible by 605 using the divisibility rule.
Step 1: Check if the number is divisible by 5 by ensuring the last digit is 0 or 5. In 1210, the last digit is 0, so it is divisible by 5.
Step 2: Check if the number is divisible by 121. Divide 1210 by 121, which results in 10, an integer.
Step 3: Since 1210 is divisible by both 5 and 121, it is divisible by 605 (since 605 = 5 × 121).
Tips and Tricks for Divisibility Rule of 605
Learning divisibility rules helps improve calculation skills. Here are a few tips and tricks for the divisibility rule of 605.
Know the prime factorization: Understand that 605 = 5 × 121. A number must be divisible by both 5 and 121 to be divisible by 605.
Check divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. This is a quick way to start checking for divisibility by 605.
Use 121 divisibility: Check divisibility by 121 by dividing the number directly and checking for an integer result.
Repeat the process for larger numbers: If the number is large, break it down by first checking divisibility by 5 and then 121 separately.
Verify with division: Use division to confirm results, ensuring accuracy and understanding of the divisibility process.
Common Mistakes and How to Avoid Them in Divisibility Rule of 605
The divisibility rule of 605 helps us quickly check if a given number is divisible by 605, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking both conditions.
Ensure that the number is divisible by both 5 and 121 to confirm divisibility by 605.
Mistake 2
Ignoring the last digit for divisibility by 5.
Always check the last digit to see if it is 0 or 5 for divisibility by 5.
Mistake 3
Skipping the 121 divisibility check.
Remember to check divisibility by 121, as it is crucial for checking divisibility by 605.
Mistake 4
Confusing factors with multiples.
Understand the difference between factors (5 and 121) and multiples to apply the rule correctly.
Mistake 5
Overlooking verification.
Use division to verify and cross-check your results for accuracy.
Divisibility Rule of 605 Examples
Problem 1
Is 1815 divisible by 605?
Yes, 1815 is divisible by 605.
Explanation
To check the divisibility of 1815 by 605, let's apply the rule:
1) Divide the number by 605 directly, 1815 ÷ 605 = 3.
2) Since the division results in a whole number without a remainder, 1815 is divisible by 605.
Problem 2
Check the divisibility rule of 605 for 2420.
Yes, 2420 is divisible by 605.
Explanation
For checking the divisibility of 2420 by 605:
1) Divide the number by 605, 2420 ÷ 605 = 4.
2) As the division yields a whole number with no remainder, 2420 is divisible by 605.
Problem 3
Is 3030 divisible by 605?
Yes, 3030 is divisible by 605.
Explanation
To verify if 3030 is divisible by 605:
1) Perform the division, 3030 ÷ 605 = 5.
2) The result is an integer without any remainder, confirming that 3030 is divisible by 605.
Problem 4
Can 1210 be divisible by 605 following the divisibility rule?
No, 1210 isn't divisible by 605.
Explanation
To check if 1210 is divisible by 605:
1) Divide the number, 1210 ÷ 605 = 2.
2) The division results in a whole number, but with a remainder, indicating that 1210 is not divisible by 605.
Problem 5
Check the divisibility rule of 605 for 6050.
Yes, 6050 is divisible by 605.
Explanation
To determine if 6050 is divisible by 605:
1) Divide the number by 605, 6050 ÷ 605 = 10.
2) Since the result is a whole number without a remainder, 6050 is divisible by 605.
FAQs on Divisibility Rule of 605
1. What is the divisibility rule for 605?
2.How many numbers are there between 1 and 1000 that are divisible by 605?
3.Is 6050 divisible by 605?
4. What if I am unsure about divisibility by 121?
5.Does the divisibility rule of 605 apply to all integers?
6.How can children in Canada use numbers in everyday life to understand Divisibility Rule of 605?
7.What are some fun ways kids in Canada can practice Divisibility Rule of 605 with numbers?
8.What role do numbers and Divisibility Rule of 605 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Divisibility Rule of 605 skills?
Important Glossary for Divisibility Rule of 605
- Divisibility rule: The set of guidelines used to determine if one number is divisible by another without performing division.
- Prime factorization: Breaking down a number into its prime factors. For 605, it is 5 × 121.
- Integer: A whole number that can be positive, negative, or zero.
- Multiples: Numbers obtained by multiplying an integer by another integer. For example, multiples of 605 are 605, 1210, 1815, etc.
- Verification: The process of confirming the accuracy of a result, often by performing division or other checks.
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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.
