192 LearnersLast updated on May 26th, 2025
Divisibility Rule of 690
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 690.
What is the Divisibility Rule of 690?
The divisibility rule for 690 is a method by which we can find out if a number is divisible by 690 or not without using the division method. Check whether 2070 is divisible by 690 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 5, since 690 = 2 × 3 × 5 × 23.
Divisibility by 2: The last digit of 2070 is 0, which is even, so it is divisible by 2.
Divisibility by 3: Sum the digits of 2070 (2 + 0 + 7 + 0 = 9). Since 9 is divisible by 3, 2070 is divisible by 3.
Divisibility by 5: The last digit of 2070 is 0, so it is divisible by 5.
Step 2: Check if the number is divisible by 23. Here, 2070 ÷ 23 = 90, which means 2070 is divisible by 23.
Since 2070 is divisible by 2, 3, 5, and 23, it is divisible by 690.
Tips and Tricks for Divisibility Rule of 690
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 690.
- Break it down: Remember that 690 is composed of 2, 3, 5, and 23. Ensure that a number is divisible by each of these.
- Quick check for small factors: For quick checks, first ensure the number is divisible by 2, 3, and 5, as these are simpler to verify.
- Use division for larger factors: Use the division method for larger factors like 23 to verify divisibility.
- Repeat the process for large numbers: For large numbers, break them down and verify divisibility by smaller factors step by step.
- Use the division method to verify: The division method can be used as a way to verify and cross-check results.
Common Mistakes and How to Avoid Them in Divisibility Rule of 690
The divisibility rule of 690 helps us quickly check if the given number is divisible by 690, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking all factors.
Students should check divisibility by each factor of 690 (2, 3, 5, and 23).
Divisibility Rule of 690 Examples
Problem 1
Is 3450 divisible by 690?
Yes, 3450 is divisible by 690.
Explanation
To determine if 3450 is divisible by 690, follow these steps:
1) Check if the number is divisible by 2: The number ends in 0, which is even, so it is divisible by 2.
2) Check if the sum of the digits (3 + 4 + 5 + 0 = 12) is divisible by 3. Yes, 12 is divisible by 3.
3) Check if the number ends in 0, confirming divisibility by 10.
Since 3450 meets all these conditions, it is divisible by 690.
Problem 2
Check the divisibility rule of 690 for 1380.
Yes, 1380 is divisible by 690.
Explanation
For checking the divisibility of 1380 by 690:
1) Check if the number is divisible by 2: The number ends in 0, which is even.
2) Check if the sum of the digits (1 + 3 + 8 + 0 = 12) is divisible by 3. Yes, 12 is divisible by 3.
3) Check if the number ends in 0, confirming divisibility by 10.
Since 1380 satisfies all these conditions, it is divisible by 690.
Problem 3
Is 2070 divisible by 690?
No, 2070 is not divisible by 690.
Explanation
To verify if 2070 is divisible by 690, follow these steps:
1) Check if the number is divisible by 2: The number ends in 0, so it is even and divisible by 2.
2) Check if the sum of the digits (2 + 0 + 7 + 0 = 9) is divisible by 3. Yes, 9 is divisible by 3.
3) Check if the number ends in 0, confirming divisibility by 10.
However, while 2070 satisfies divisibility by 2, 3, and 10, dividing 2070 by 690 does not yield a whole number (2070 ÷ 690 = 3). Since the conditions aren't fully met for 690 specifically, 2070 is not divisible by 690.
Problem 4
Can 5520 be divisible by 690 following the divisibility rule?
Yes, 5520 is divisible by 690.
Explanation
To check if 5520 is divisible by 690:
1) Check if the number is divisible by 2: The number ends in 0, so it is even.
2) Check if the sum of the digits (5 + 5 + 2 + 0 = 12) is divisible by 3. Yes, 12 is divisible by 3.
3) Check if the number ends in 0, confirming divisibility by 10.
Since 5520 meets all these criteria, it is divisible by 690.
Problem 5
Check the divisibility rule of 690 for 6900.
Yes, 6900 is divisible by 690.
Explanation
To check the divisibility of 6900 by 690:
1) Check if the number is divisible by 2: The number ends in 0, so it is even.
2) Check if the sum of the digits (6 + 9 + 0 + 0 = 15) is divisible by 3. Yes, 15 is divisible by 3.
3) Check if the number ends in 0, confirming divisibility by 10.
Since all conditions are satisfied for 690, 6900 is divisible by 690.
FAQs on Divisibility Rule of 690
1.What is the divisibility rule for 690?
2.How many numbers between 1 and 1000 are divisible by 690?
3.Is 1380 divisible by 690?
4.What if I get a remainder when dividing by one factor?
5.Does the divisibility rule of 690 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 690?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 690 with numbers?
8.What role do numbers and Divisibility Rule of 690 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 690 skills?
Important Glossaries for Divisibility Rule of 690
- Divisibility Rule: A set of rules to determine if a number is divisible by another without performing division.
- Factor: A number that divides another without leaving a remainder. In this context, 2, 3, 5, and 23 are factors of 690.
- Multiple: A result obtained by multiplying a number by an integer.
- Integer: A whole number that can be positive, negative, or zero.
- Remainder: The amount left over after division when one number does not divide the other exactly.
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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
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