167 LearnersLast updated on May 26th, 2025
Divisibility Rule of 395
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 395.
What is the Divisibility Rule of 395?
The divisibility rule for 395 is a method by which we can find out if a number is divisible by 395 or not without using the division method.
Check whether 790 is divisible by 395 using the divisibility rule.
Step 1: Check if the number is divisible by 5. A number is divisible by 5 if its last digit is 0 or 5. Here, 790 ends in 0, so it is divisible by 5.
Step 2: Check if the number divided by 5 is divisible by 79. Divide 790 by 5 to get 158. Now check if 158 is divisible by 79.
Step 3: Since 158 divided by 79 equals 2 (an integer), 158 is divisible by 79. Therefore, 790 is divisible by 395.
Tips and Tricks for Divisibility Rule of 395
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 395.
- Break it down: Remember that 395 = 5 × 79. Check divisibility by 5 and then by 79.
- Use known multiples: Memorize the multiples of 395 (395, 790, 1185, etc.) to quickly check divisibility.
- Simplify calculations: After checking divisibility by 5, simplify the number by dividing by 5 before checking for 79.
- Use the division method to verify: Students can use the division method to verify and cross-check their results. This helps them confirm and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 395
The divisibility rule of 395 helps us quickly check if a given number is divisible by 395, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Follow the correct steps by first checking divisibility by 5, then divide the result by 79.
Divisibility Rule of 395 Examples
Problem 1
Is 1580 divisible by 395?
Yes, 1580 is divisible by 395.
Explanation
To determine if 1580 is divisible by 395 using the divisibility rule:
1) Take the last three digits of the number, 580.
2) Divide 580 by 395 to check if it is a whole number.
3) 580 ÷ 395 = 1.467 (not a whole number), so take the entire number 1580 ÷ 395 = 4 (exact division).
Therefore, 1580 is divisible by 395.
Problem 2
Check the divisibility rule of 395 for 2370.
No, 2370 is not divisible by 395.
Explanation
To check the divisibility of 2370 by 395:
1) Take the last three digits, 370.
2) Divide 370 by 395. 370 ÷ 395 = 0.9367 (not a whole number).
Therefore, 2370 is not divisible by 395.
Problem 3
Is 790 divisible by 395?
Yes, 790 is divisible by 395.
Explanation
To determine if 790 is divisible by 395:
1) Use the number directly as it is less than 1000.
2) Divide 790 by 395. 790 ÷ 395 = 2 (exact division).
Therefore, 790 is divisible by 395.
Problem 4
Can 3175 be divisible by 395 following the divisibility rule?
Yes, 3175 is divisible by 395.
Explanation
To check the divisibility of 3175 by 395:
1) Take the last three digits, 175.
2) Divide 175 by 395. 175 ÷ 395 = 0.443 (not a whole number), so take the entire number 3175 ÷ 395 = 8 (exact division).
Therefore, 3175 is divisible by 395.
Problem 5
Check the divisibility rule of 395 for 5925.
No, 5925 is not divisible by 395.
Explanation
To check the divisibility of 5925 by 395:
1) Take the last three digits, 925.
2) Divide 925 by 395. 925 ÷ 395 = 2.34 (not a whole number).
Therefore, 5925 is not divisible by 395.
FAQs on Divisibility Rule of 395
1.What is the divisibility rule for 395?
2.How many numbers are there between 1 and 2000 that are divisible by 395?
3.Is 1580 divisible by 395?
4.What if I get 0 after dividing by 79?
5.Does the divisibility rule of 395 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 395?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 395 with numbers?
8.What role do numbers and Divisibility Rule of 395 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 395 skills?
Important Glossaries for Divisibility Rule of 395
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number without performing division.
- Multiples: The results obtained by multiplying a number by integers. For example, multiples of 395 are 395, 790, 1185, etc.
- Integer: A whole number that can be positive, negative, or zero.
- Division: The process of determining how many times one number is contained within another.
- Simplification: Reducing a problem to its simplest form to make calculations easier.
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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.
Fun Fact
: She loves to read number jokes and games.
