223 LearnersLast updated on May 26th, 2025
Divisibility Rule of 670
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 670.
What is the Divisibility Rule of 670?
The divisibility rule for 670 is a method by which we can find out if a number is divisible by 670 or not without using the division method. Check whether 2010 is divisible by 670 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 5, and 67 since 670 = 2 × 5 × 67.
Divisibility by 2: The last digit of 2010 is 0, which is even. Thus, it is divisible by 2.
Divisibility by 5: The last digit of 2010 is 0, which is divisible by 5.
Divisibility by 67: Subtract 2 times the last digit from the rest of the number: 201 - (2 × 0) = 201.
Then, check if 201 is divisible by 67. 201 divided by 67 equals 3 with no remainder.
Step 2: Since 2010 is divisible by 2, 5, and 67, it is divisible by 670.
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Tips and Tricks for Divisibility Rule of 670
Learn the divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 670.
- Know the individual divisibility rules: Memorize the rules for 2, 5, and 67 to quickly check the divisibility of 670.
- Use subtraction for large numbers: If checking divisibility by 67, use the subtraction method for large numbers, as shown in the example.
- Verify with small numbers: If the number is large, break it down into smaller parts and check divisibility for each factor of 670.
- 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 to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 670
The divisibility rule of 670 helps us quickly check if the given number is divisible by 670, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes that will help you to avoid errors.
Mistake 1
Not checking divisibility for all factors.
Students should check divisibility for 2, 5, and 67, as 670 is the product of these numbers.
Mistake 2
Incorrect subtraction for divisibility by 67.
Use the correct subtraction method: subtract 2 times the last digit from the rest of the number.
Mistake 3
Confusing the steps.
Students often confuse the steps or forget the steps, to avoid the error, students should practice regularly.
Mistake 4
Skipping verification steps.
Always verify your result using the actual division to confirm divisibility.
Mistake 5
Not considering the negative values
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
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Divisibility Rule of 670 Examples
Problem 1
Is 1340 divisible by 670?
Yes, 1340 is divisible by 670.
Explanation
To check if 1340 is divisible by 670:
1) Divide 1340 by 670.
2) The result is 2, which is an integer.
3) Therefore, 1340 is divisible by 670.
Problem 2
Check the divisibility rule of 670 for 2010.
No, 2010 is not divisible by 670.
Explanation
To check if 2010 is divisible by 670:
1) Divide 2010 by 670.
2) The result is approximately 3.0, which is not an integer.
3) Therefore, 2010 is not divisible by 670.
Problem 3
Is 3350 divisible by 670?
Yes, 3350 is divisible by 670.
Explanation
To check if 3350 is divisible by 670:
1) Divide 3350 by 670.
2) The result is 5, which is an integer.
3) Therefore, 3350 is divisible by 670.
Problem 4
Can 1500 be divisible by 670 following the divisibility rule?
No, 1500 isn't divisible by 670.
Explanation
To check if 1500 is divisible by 670:
1) Divide 1500 by 670.
2) The result is approximately 2.24, which is not an integer.
3) Therefore, 1500 is not divisible by 670.
Problem 5
Check the divisibility rule of 670 for 6700.
Yes, 6700 is divisible by 670.
Explanation
To check if 6700 is divisible by 670:
1) Divide 6700 by 670.
2) The result is 10, which is an integer.
3) Therefore, 6700 is divisible by 670.
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FAQs on Divisibility Rule of 670
1.What is the divisibility rule for 670?
2.How many numbers are there between 1 and 1000 that are divisible by 670?
3.Is 1340 divisible by 670?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 670 apply to all integers?
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Important Glossaries for Divisibility Rule of 670
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even digit.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 670 are 670, 1340, 2010, etc.
- Factors: Factors are numbers that can be multiplied together to get another number. For example, the factors of 670 are 2, 5, and 67.
- Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
- Integer: Integers are numbers that include all whole numbers, negative numbers, and zero.
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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.
