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Last updated on February 17th, 2025

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Divisibility Rule of 195

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Foundation
Intermediate
Advance Topics

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 things. In this topic, we will learn about the divisibility rule of 195.

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What is the Divisibility Rule of 195?

The divisibility rule for 195 is a method by which we can find out if a number is divisible by 195 or not without using the division method. Check whether 3900 is divisible by 195 with the divisibility rule.

 

Step 1: Check if the number is divisible by 5, 3, and 13. If a number is divisible by these three, then it is divisible by 195. The number 3900 ends in 0, so it is divisible by 5.

 

Step 2: Check if the number is divisible by 3. Add the digits of 3900: 3 + 9 + 0 + 0 = 12. Since 12 is divisible by 3, 3900 is divisible by 3.

 

Step 3: Check if the number is divisible by 13. Use the rule for 13 or divide 3900 by 13 directly. Since 3900 divided by 13 equals 300 with no remainder, it is divisible by 13.

 

Since 3900 is divisible by 5, 3, and 13, it is divisible by 195.

divisibility rule of 195

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Tips and Tricks for Divisibility Rule of 195

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 195.

  • Know the factors of 195:

   Memorize the factors of 195 (5, 3, and 13) to quickly check divisibility. If the number is divisible by these three, it is divisible by 195.

  • Use the sum of digits:

   For divisibility by 3, sum the digits and check if the sum is divisible by 3.

Verify divisibility by 5:
   Numbers ending in 0 or 5 are divisible by 5.

  • Repeat the process for large numbers:

   For large numbers, verify each condition (divisibility by 5, 3, and 13) separately.

  • Use the division method to verify:

   Students can use the division method to verify and crosscheck their results.

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Common Mistakes and How to Avoid Them in Divisibility Rule of 195

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Divisibility Rule of 195 Examples

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Problem 1

Is 1950 divisible by 195?

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Explanation

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Problem 2

Can 2340 be checked for divisibility by 195?

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Explanation

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Problem 3

Is 390 divisible by 195?

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Explanation

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Problem 4

Check if 585 is divisible by 195.

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Explanation

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Problem 5

Is 1300 divisible by 195?

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Explanation

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FAQs on Divisibility Rule of 195

1.What is the divisibility rule for 195?

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2.How many numbers are there between 1 and 1000 that are divisible by 195?

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3.Is 975 divisible by 195?

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4.What if I get 0 after division?

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5.Does the divisibility rule of 195 apply to all integers?

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Important Glossaries for Divisibility Rule of 195

  • Divisibility rule: The set of rules used to determine whether a number is divisible by another number.

 

  • Factors: Numbers that can divide another number without leaving a remainder. For 195, the factors are 5, 3, and 13.

 

  • Integer: Whole numbers, including negative numbers and zero.

 

  • Sum of digits: The result obtained after adding all the digits of a number.

 

  • Remainder: The amount left over after division. If zero, the number is divisible by the divisor.
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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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