184 LearnersLast updated on May 26th, 2025
Divisibility Rule of 195
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.
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.
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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.
Common Mistakes and How to Avoid Them in Divisibility Rule of 195
The divisibility rule of 195 helps us quickly check if a given number is divisible by 195, but common mistakes like calculation errors lead to incorrect results. Here, we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking all three divisors.
Ensure the number is divisible by 5, 3, and 13.
Mistake 2
Incorrectly adding digits for divisibility by 3.
Carefully add each digit and check if the sum is divisible by 3.
Mistake 3
Forgetting to check divisibility by 13.
Use a calculative approach for divisibility by 13 or perform direct division to verify.
Mistake 4
Confusing divisibility rules of different numbers.
Practice regularly to avoid confusion between rules for different numbers.
Mistake 5
Ignoring zero in the divisibility by 5.
Remember that numbers ending in 0 or 5 are divisible by 5.
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Divisibility Rule of 195 Examples
Problem 1
Is 1950 divisible by 195?
Yes, 1950 is divisible by 195.
Explanation
To check if 1950 is divisible by 195, we can use the following method:
1) Check if 1950 is divisible by both 15 and 13 (since 195 = 15 x 13).
2) 1950 ends with a 0, which makes it divisible by 5. The sum of the digits (1 + 9 + 5 + 0 = 15) is divisible by 3. Therefore, 1950 is divisible by 15.
3) Now check divisibility by 13: Subtract 9 times the last digit (0) from the rest of the number: 195 - 0 = 195. Since 195 is divisible by 13 (13 x 15 = 195), 1950 is divisible by 195.
Problem 2
Can 2340 be checked for divisibility by 195?
Yes, 2340 is divisible by 195.
Explanation
To verify if 2340 is divisible by 195:
1) Check divisibility by 15: 2340 ends with a 0 (divisible by 5), and the sum of digits (2 + 3 + 4 + 0 = 9) is divisible by 3. Hence, 2340 is divisible by 15.
2) Check divisibility by 13: Subtract 9 times the last digit (0) from the rest: 234 - 0 = 234. Divide 234 by 13. Since 234 ÷ 13 = 18, it is divisible by 13.
Therefore, 2340 is divisible by 195.
Problem 3
Is 390 divisible by 195?
Yes, 390 is divisible by 195.
Explanation
To check if 390 is divisible by 195:
1) Check divisibility by 15: 390 ends in a 0, ensuring divisibility by 5, and the sum of its digits (3 + 9 + 0 = 12) is divisible by 3.
2) Check divisibility by 13: Subtract 9 times the last digit (0) from the rest: 39 - 0 = 39. Divide 39 by 13. As 39 ÷ 13 = 3, 39 is divisible by 13.
Hence, 390 is divisible by 195.
Problem 4
Check if 585 is divisible by 195.
Yes, 585 is divisible by 195.
Explanation
o verify the divisibility of 585 by 195:
1) Check divisibility by 15: The sum of the digits (5 + 8 + 5 = 18) is divisible by 3, and 585 ends in 5, making it divisible by 5.
2) Check divisibility by 13: Subtract 9 times the last digit (5) from the rest: 58 - 45 = 13. Since 13 is clearly divisible by 13, 585 is divisible by 195.
Problem 5
Is 1300 divisible by 195?
No, 1300 is not divisible by 195.
Explanation
To determine if 1300 is divisible by 195:
1) Check divisibility by 15: 1300 ends in 0, divisible by 5, and the sum of digits (1 + 3 + 0 + 0 = 4) is not divisible by 3. Hence, 1300 is not divisible by 15.
Thus, 1300 is not divisible by 195, as it doesn't satisfy the divisibility rule for 15.
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FAQs on Divisibility Rule of 195
1.What is the divisibility rule for 195?
2.How many numbers are there between 1 and 1000 that are divisible by 195?
3.Is 975 divisible by 195?
4.What if I get 0 after division?
5.Does the divisibility rule of 195 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 195?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 195 with numbers?
8.What role do numbers and Divisibility Rule of 195 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 195 skills?
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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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About BrightChamps in United Arab Emirates
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.
