190 LearnersLast updated on May 26th, 2025
Divisibility Rule of 70
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 70.
What is the Divisibility Rule of 70?
The divisibility rule for 70 is a method by which we can find out if a number is divisible by 70 or not without using the division method. To check whether 2100 is divisible by 70 with the divisibility rule, follow these steps:
Step 1: Check if the number is divisible by both 7 and 10.
Step 2: A number is divisible by 10 if its last digit is 0. Here, the last digit of 2100 is 0, so it is divisible by 10.
Step 3: Check divisibility by 7 using its rule. For example, with 210, multiply the last digit by 2: 0 × 2 = 0. Subtract from the remaining number: 21 – 0 = 21. Since 21 is a multiple of 7, 210 is divisible by 7.
Step 4: Since 2100 is divisible by both 7 and 10, it is divisible by 70.
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Tips and Tricks for Divisibility Rule of 70
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 70.
- Know the multiples of 70: Memorize the multiples of 70 (70, 140, 210, 280, etc.) to quickly check divisibility.
- Use the divisibility rules for 7 and 10: Ensure the number passes both divisibility rules for 7 and 10 to confirm divisibility by 70.
- Repeat the process for large numbers: For large numbers, repeatedly check divisibility by 7 and 10 until you confirm divisibility by 70.
- Use the division method to verify: Use the division method to verify and cross-check results, reinforcing learning and accuracy.
Common Mistakes and How to Avoid Them in Divisibility Rule of 70
The divisibility rule of 70 helps us quickly check if a given number is divisible by 70, 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 divisibility rules.
Ensure the number is divisible by both 7 and 10 for divisibility by 70.
Mistake 2
Ignoring the last digit for divisibility by 10.
Always confirm that the last digit is 0 for divisibility by 10.
Mistake 3
Not repeating the process when dealing with large numbers.
Repeat the divisibility checks for 7 and 10 until you get a clear result.
Mistake 4
Confusing the steps.
Practice regularly to familiarize yourself with the steps for divisibility by 70.
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Divisibility Rule of 70 Examples
Problem 1
Is 1400 divisible by 70?
Yes, 1400 is divisible by 70.
Explanation
To check if 1400 is divisible by 70, we can first check its divisibility by both 7 and 10.
1) For divisibility by 10, the number must end in 0, which 1400 does.
2) For divisibility by 7, apply the rule: multiply the last digit by 2, 0 × 2 = 0. Subtract this from the rest of the number, 140 – 0 = 140. Repeat the rule: multiply the last digit of 140 by 2, 0 × 2 = 0. Subtract this from the remaining number, 14 – 0 = 14. Since 14 is a multiple of 7 (7 × 2 = 14), 1400 is divisible by 7.
Therefore, 1400 is divisible by both 7 and 10, hence divisible by 70.
Problem 2
Check the divisibility rule of 70 for 210.
Yes, 210 is divisible by 70.
Explanation
To check if 210 is divisible by 70, confirm its divisibility by both 7 and 10.
1) For divisibility by 10, the number must end in 0, which 210 does.
2) For divisibility by 7, multiply the last digit by 2, 0 × 2 = 0. Subtract this from the remaining number, 21 – 0 = 21. Since 21 is a multiple of 7 (7 × 3 = 21), 210 is divisible by 7.
Thus, 210 is divisible by both 7 and 10, confirming it's divisible by 70.
Problem 3
Is 980 divisible by 70?
Yes, 980 is divisible by 70.
Explanation
To check if 980 is divisible by 70, we need to verify divisibility by both 7 and 10.
1) For divisibility by 10, the number must end in 0, which 980 does.
2) For divisibility by 7, multiply the last digit by 2, 0 × 2 = 0. Subtract this from the remaining number, 98 – 0 = 98. Since 98 is a multiple of 7 (7 × 14 = 98), 980 is divisible by 7.
Therefore, 980 is divisible by both 7 and 10, making it divisible by 70.
Problem 4
Can 1235 be divisible by 70 following the divisibility rule?
No, 1235 is not divisible by 70.
Explanation
To determine if 1235 is divisible by 70, we check divisibility by both 7 and 10.
1) For divisibility by 10, the number must end in 0. Since 1235 ends in 5, it is not divisible by 10.
Since 1235 is not divisible by 10, it cannot be divisible by 70, regardless of its divisibility by 7.
Problem 5
Check the divisibility rule of 70 for 560.
Yes, 560 is divisible by 70.
Explanation
To check if 560 is divisible by 70, we verify divisibility by both 7 and 10.
1) For divisibility by 10, the number must end in 0, which 560 does.
2) For divisibility by 7, multiply the last digit by 2, 0 × 2 = 0. Subtract this from the remaining number, 56 – 0 = 56. Since 56 is a multiple of 7 (7 × 8 = 56), 560 is divisible by 7.
Therefore, 560 is divisible by both 7 and 10, confirming it is divisible by 70.
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FAQs on Divisibility Rule of 70
1. What is the divisibility rule for 70?
2. How many numbers are there between 1 and 700 that are divisible by 70?
3.Is 280 divisible by 70?
4.What if I get 0 after subtraction in the divisibility check for 7?
5. Does the divisibility rule of 70 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 70?
7.What are some fun ways kids in India can practice Divisibility Rule of 70 with numbers?
8.What role do numbers and Divisibility Rule of 70 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 70 skills?
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Important Glossaries for Divisibility Rule of 70
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 70 are 70, 140, 210, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one from another.
- Division: The process of finding how many times one number is contained within another.
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About BrightChamps in India
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.
