228 LearnersLast updated on May 26th, 2025
Divisibility Rule of 710
The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 710.
What is the Divisibility Rule of 710?
The divisibility rule for 710 is a method by which we can determine if a number is divisible by 710 without using the division method. Let's check whether 4260 is divisible by 710 using the divisibility rule.
Step 1: Check if the number is divisible by both 71 and 10. Since 710 is the product of 71 and 10, a number is divisible by 710 if it meets the criteria for both.
Step 2: To check divisibility by 71, use a variation of the rule for 7. For simplicity, let's say the rule involves subtracting twice the last digit from the rest of the number. In 4260, the last digit is 0, so the rule simplifies as 426 - (0 × 2) = 426. Since checking divisibility by 71 is complex, using a calculator or known divisibility method is preferred.
Step 3: For divisibility by 10, the number must end in 0. Since 4260 ends in 0, it meets this criterion.
Since 4260 is divisible by 71 and 10, it is divisible by 710.
Tips and Tricks for Divisibility Rule of 710
Know the multiples of 710: Memorize the multiples of 710 (710, 1420, 2130, etc.) to quickly check divisibility. If the number is a multiple of 710, it is divisible by 710.
Use divisibility tests for 71 and 10:
For smaller calculations, ensure the number meets divisibility for both 71 and 10.
Repeat the process for large numbers:
If the number is large, break it down and repeatedly check divisibility until you get a manageable number.
Use the division method to verify:
Use long division to verify your result for accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 710
The divisibility rule of 710 helps us quickly check if a number is divisible by 710, but common mistakes can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Ensure you check divisibility for both 71 and 10, as both conditions must be met.
Mistake 2
Confusing divisibility criteria for 71 and 10.
Remember the specific conditions for each component: a complex check for 71 and ending in 0 for 10.
Mistake 3
Not repeating the process for large numbers.
If dealing with large numbers, simplify and break down the problem using known divisibility rules.
Mistake 4
Ignoring one of the factors.
Both 71 and 10 must be considered since 710 = 71 × 10.
Mistake 5
Misunderstanding the multiplication and subtraction steps.
Practice using the correct method for divisibility checks and verify results through division where feasible.
Divisibility Rule of 710 Examples
Problem 1
Is 4260 divisible by 710?
No, 4260 is not divisible by 710.
Explanation
To determine if 4260 is divisible by 710, check the divisibility by 71 and 10 separately.
1) For 71, consider the last digit 0, remove it, and check if 426 is divisible by 71. 426 ÷ 71 = 6 (remainder 0), so 426 is divisible by 71.
2) For 10, check if the last digit is 0. Yes, 4260 ends in 0, so it is divisible by 10.
3) Since 426 is divisible by 71 and 4260 is divisible by 10, it is also divisible by 710. However, since the initial division was incorrect, 4260 is not divisible by 710.
Problem 2
Verify if 1420 can be divided by 710.
Yes, 1420 is divisible by 710.
Explanation
To verify if 1420 is divisible by 710, use the criteria for 71 and 10.
1) Check divisibility by 71: Consider the last digit 0, remove it to get 142. 142 ÷ 71 = 2 (remainder 0), so 142 is divisible by 71.
2) Check divisibility by 10: The number 1420 ends in 0, so it is divisible by 10.
3) Since 142 is divisible by 71 and 1420 is divisible by 10, 1420 is divisible by 710.
Problem 3
Determine if 2130 is divisible by 710.
No, 2130 is not divisible by 710.
Explanation
To determine if 2130 is divisible by 710, check the divisibility by 71 and 10.
1) Check divisibility by 71: Consider the last digit 0, remove it to get 213. 213 ÷ 71 = 3 (remainder 0), so 213 is divisible by 71.
2) Check divisibility by 10: The number 2130 ends in 0, so it is divisible by 10.
3) Although 213 is divisible by 71, 2130 is not divisible by 710 because 213 was incorrectly calculated as divisible by 71.
Problem 4
Can 4970 be divisible by 710?
No, 4970 is not divisible by 710.
Explanation
To check if 4970 is divisible by 710, evaluate divisibility by 71 and 10.
1) Check divisibility by 71: Consider the last digit 0, remove it to get 497. 497 ÷ 71 = 7 (remainder 0), so 497 is divisible by 71.
2) Check divisibility by 10: The number 4970 ends in 0, so it is divisible by 10.
3) Since the initial assumption was incorrect, 4970 is not divisible by 710.
Problem 5
Verify if 7100 can be divided by 710.
Yes, 7100 is divisible by 710.
Explanation
To verify if 7100 is divisible by 710, use divisibility rules for 71 and 10.
1) Check divisibility by 71: Consider the last digit 0, remove it to get 710. 710 ÷ 71 = 10 (remainder 0), so 710 is divisible by 71.
2) Check divisibility by 10: The number 7100 ends in 0, so it is divisible by 10.
3) Since 710 is divisible by 71 and 7100 is divisible by 10, 7100 is divisible by 710.
FAQs on Divisibility Rule of 710
1.What is the divisibility rule for 710?
2.How many numbers between 1 and 5000 are divisible by 710?
3.Is 2840 divisible by 710?
4.What if I get 0 after subtraction?
5.Does the divisibility rule of 710 apply to all integers?
6.How can children in Thailand use numbers in everyday life to understand Divisibility Rule of 710?
7.What are some fun ways kids in Thailand can practice Divisibility Rule of 710 with numbers?
8.What role do numbers and Divisibility Rule of 710 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Divisibility Rule of 710 skills?
Important Glossaries for Divisibility Rule of 710
- Divisibility Rule: The set of rules used to determine whether a number is divisible by another number.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 710 are 710, 1420, 2130, etc.
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
- Product: The result of multiplying two numbers together. For example, 710 is the product of 71 and 10.
- Subtraction: The process of finding the difference between two numbers by reducing one from another.
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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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