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Last updated on February 24th, 2025

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Divisibility Rule of 70

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Intermediate
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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.

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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.

divisibility rule of 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.
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Common Mistakes and How to Avoid Them in Divisibility Rule of 70

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Divisibility Rule of 70 Examples

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Problem 1

Is 1400 divisible by 70?

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Explanation

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Problem 2

Check the divisibility rule of 70 for 210.

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Explanation

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Problem 3

Is 980 divisible by 70?

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Explanation

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Problem 4

Can 1235 be divisible by 70 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 70 for 560.

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Explanation

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FAQs on Divisibility Rule of 70

1. What is the divisibility rule for 70?

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2. How many numbers are there between 1 and 700 that are divisible by 70?

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3.Is 280 divisible by 70?

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4.What if I get 0 after subtraction in the divisibility check for 7?

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5. Does the divisibility rule of 70 apply to all integers?

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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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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.

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Fun Fact

: She loves to read number jokes and games.

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