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122 LearnersLast updated on February 12th, 2025
Divisibility Rule of 398
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 398.
What is the Divisibility Rule of 398?
The divisibility rule for 398 is a method by which we can find out if a number is divisible by 398 or not without using the division method. Check whether 796 is divisible by 398 with the divisibility rule.
Step 1: Check the number if it is a multiple of 398. Here, 796 is not an obvious multiple of 398, since 398 × 2 = 796.
Step 2: If the subtraction of any multiple of 398 from 796 results in zero or a multiple of 398, then the number is divisible by 398. Here, 796 - 796 = 0, so 796 is divisible by 398.
Tips and Tricks for Divisibility Rule of 398
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 398.
- Know the multiples of 398: Memorize the multiples of 398 (398, 796, 1194, etc.) to quickly check divisibility.
- Use the subtraction method: If a number is close to a known multiple of 398, subtract the multiple to check for divisibility.
- Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is easily checked for divisibility by 398. For example, check if 1592 is divisible by 398 using the divisibility test. 1592 - 1194 = 398, which is a multiple of 398, so 1592 is divisible by 398.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 398
The divisibility rule of 398 helps us to quickly check if the given number is divisible by 398, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of using known multiples of 398 and checking the subtraction results.
Divisibility Rule of 398 Examples
Problem 1
Is 1194 divisible by 398?
Yes, 1194 is divisible by 398.
Explanation
To check if 1194 is divisible by 398, we divide 1194 by 398.
1) Perform the division: 1194 ÷ 398 = 3.
2) Since the result is an integer with no remainder, 1194 is divisible by 398.
Problem 2
Check the divisibility rule of 398 for 796.
Yes, 796 is divisible by 398.
Explanation
To verify if 796 is divisible by 398, use division.
1) Divide 796 by 398: 796 ÷ 398 = 2.
2) The result is an integer with no remainder, indicating 796 is divisible by 398.
Problem 3
Is 1592 divisible by 398?
No, 1592 is not divisible by 398.
Explanation
To determine if 1592 is divisible by 398, perform division.
1) Divide 1592 by 398: 1592 ÷ 398 = 4 with a remainder.
2) Since there is a remainder, 1592 is not divisible by 398.
Problem 4
Can 398 be divisible by 398 following the divisibility rule?
Yes, 398 is divisible by 398.
Explanation
Any number divided by itself is always divisible.
1) Divide 398 by 398: 398 ÷ 398 = 1.
2) The result is an integer with no remainder, confirming divisibility.
Problem 5
Check the divisibility rule of 398 for 7960.
No, 7960 is not divisible by 398.
Explanation
To check if 7960 is divisible by 398, use division.
1) Divide 7960 by 398: 7960 ÷ 398 = 20 with a remainder.
2) The presence of a remainder indicates that 7960 is not divisible by 398.
FAQs on Divisibility Rule of 398
1.What is the divisibility rule for 398?
2.How many numbers are there between 1 and 1000 that are divisible by 398?
3.Is 1194 divisible by 398?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 398 apply to all integers?
Important Glossaries for Divisibility Rule of 398
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 398 if it matches or is a multiple found through subtraction.
- Multiples: The results obtained after multiplying a number by an integer. For example, multiples of 398 are 398, 796, 1194, etc.
- Subtraction: The process of finding the difference between two numbers, by reducing one number from another.
- Integer: Integers are the numbers that include all the whole numbers, negative numbers, and zero.
- Verification: The process of confirming the accuracy of a calculation, often using an alternative method like division to ensure correctness.
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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.
