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Last updated on February 18th, 2025

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Divisibility Rule of 995

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Foundation
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 995.

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What is the Divisibility Rule of 995?

The divisibility rule for 995 is a method by which we can find out if a number is divisible by 995 or not without using the division method. Check whether 1990 is divisible by 995 with the divisibility rule.

 

Step 1: Find the difference between the number and 995 multiplied by an integer. Here, for 1990, the closest product of 995 is 995×2=1990.


Step 2: Subtract the product from the number, i.e., 1990-1990=0.


Step 3: Since the result is 0, 1990 is divisible by 995. If the result from step 2 isn't 0, then the number isn't divisible by 995.

divisibility rule of 995
 

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Tips and Tricks for Divisibility Rule of 995

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 995.

 

Know the multiples of 995:

 

Memorize the multiples of 995 (995, 1990, 2985, etc.) to quickly check divisibility. If the difference is 0, the number is divisible by 995.


Use estimation:

 

For large numbers, estimate the closest multiple of 995 to simplify your calculations.


Repeat the process for large numbers:

 

Keep repeating the divisibility process until you reach a small number that is easily identified as divisible by 995.


Use the division method to verify:

 

Use the division method as a way to verify and cross-check your results. This will help you verify and also learn.
 

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Common Mistakes and How to Avoid Them in Divisibility Rule of 995


The divisibility rule of 995 helps us quickly check if a given number is divisible by 995, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
 

Mistake 1

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Not finding the correct multiple of 995.
 

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Ensure that you calculate or estimate the closest multiple of 995 correctly before subtracting.

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Divisibility Rule of 995 Examples

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Problem 1

Is 1990 divisible by 995?

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Yes, 1990 is divisible by 995.
 

Explanation

To determine if 1990 is divisible by 995, we can perform a quick division calculation.


1) Divide 1990 by 995, which gives exactly 2 with no remainder.


2) Therefore, 1990 is divisible by 995.
 

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Problem 2

Check the divisibility rule of 995 for 2985.

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Yes, 2985 is divisible by 995.
 

Explanation

 We can verify the divisibility by performing division.


1) Divide 2985 by 995, resulting in an exact quotient of 3 with no remainder.


2) Thus, 2985 is divisible by 995.
 

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Problem 3

Is 4975 divisible by 995?

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Yes, 4975 is divisible by 995.

Explanation

 To check divisibility, divide the number by 995.


1) Perform the division: 4975 ÷ 995 = 5 with no remainder.


2) Hence, 4975 is divisible by 995.
 

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Problem 4

Can 1980 be divisible by 995?

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 Can 1980 be divisible by 995?
 

Explanation

Check divisibility by dividing 1980 by 995.


1) When you divide 1980 by 995, the result is approximately 1.99 with a remainder.


2) Therefore, 1980 is not divisible by 995.
 

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Problem 5

Check the divisibility rule of 995 for 0.

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Yes, 0 is divisible by 995

Explanation

 Any number, including 0, is divisible by any non-zero number.


1) 0 divided by 995 equals 0 with no remainder.


2) Hence, 0 is divisible by 995.
 

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FAQs on Divisibility Rule of 995

1.What is the divisibility rule for 995?

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2. Is 2985 divisible by 995?

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3.What if I get 0 after subtracting?

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4.Can the divisibility rule of 995 be applied to all integers?

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Important Glossaries for Divisibility Rule of 995

  • Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

 

  • Multiples: Multiples are the results obtained by multiplying a number by an integer. For example, multiples of 995 are 995, 1990, 2985, etc.

 

  • Subtraction: Subtraction is the process of finding out the difference between two numbers by reducing one number from another.

 

  • Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.

 

  • Verification: Verification is the process of confirming the accuracy of a result, often done through an alternative method such as division.
     
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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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