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Last updated on February 16th, 2025

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Divisibility Rule of 690

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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 690.

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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.divisibility rule of 690
 

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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.
     
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Common Mistakes and How to Avoid Them in Divisibility Rule of 690

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Divisibility Rule of 690 Examples

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Problem 1

Is 3450 divisible by 690?

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Explanation

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Problem 2

Check the divisibility rule of 690 for 1380.

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Explanation

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Problem 3

Is 2070 divisible by 690?

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Explanation

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Problem 4

Can 5520 be divisible by 690 following the divisibility rule?

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Explanation

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Problem 5

Check the divisibility rule of 690 for 6900.

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Explanation

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FAQs on Divisibility Rule of 690

1.What is the divisibility rule for 690?

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2.How many numbers between 1 and 1000 are divisible by 690?

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3.Is 1380 divisible by 690?

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4.What if I get a remainder when dividing by one factor?

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5.Does the divisibility rule of 690 apply to all integers?

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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.

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Fun Fact

: She loves to read number jokes and games.

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