174 LearnersLast updated on May 26th, 2025
Divisibility Rule of 190
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 190.
What is the Divisibility Rule of 190?
The divisibility rule for 190 is a method by which we can find out if a number is divisible by 190 or not without using the division method. Check whether 5700 is divisible by 190 with the divisibility rule.
Step 1: Check if the number is divisible by both 19 and 10, as 190 = 19 × 10.
Step 2: For divisibility by 10, the last digit of the number should be 0. Here, 5700 ends with 0, so it is divisible by 10.
Step 3: For divisibility by 19, divide the number by 19 and check if it results in an integer without a remainder. In our case, 570 ÷ 19 = 30, which is an integer.
Since 5700 is divisible by both 10 and 19, it is divisible by 190.
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Tips and Tricks for Divisibility Rule of 190
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 190.
- Know the multiples of 190: Memorize the multiples of 190 (190, 380, 570, 760, etc.) to quickly check the divisibility. If a number matches these multiples, it is divisible by 190.
- Use the divisibility rules for 19 and 10: Remember that a number must pass the divisibility checks for both 19 and 10 to be divisible by 190.
- Repeat the process for large numbers: For large numbers, consistently apply the divisibility check for both 19 and 10 until getting a clear result.
- 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 190
The divisibility rule of 190 helps us quickly check if a given number is divisible by 190, but common mistakes like calculation errors lead to incorrect evaluations. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should ensure the number is checked for divisibility by both 19 and 10 for complete verification.
Mistake 2
Ignoring divisibility by 10.
Always check that the number ends in 0 to confirm divisibility by 10.
Mistake 3
Overlooking divisibility by 19.
Perform the division by 19 to confirm the number divides evenly without remainders.
Mistake 4
Confusing the steps.
Students should practice regularly to avoid confusion and remember the necessary steps for checking divisibility.
Mistake 5
Nil
Nil
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Divisibility Rule of 190 Examples
Problem 1
Is the number of passengers, 380, on a bus divisible by 190?
Yes, 380 is divisible by 190.
Explanation
To check if 380 is divisible by 190, use the following steps:
1) Divide the total number of passengers by 190: 380 ÷ 190 = 2.
2) Since the result is a whole number, 380 is divisible by 190.
Problem 2
A farmer has 570 apples and wants to pack them in crates, each holding 190 apples. Can the farmer do this without any apples left over?
No, 570 apples cannot be perfectly packed in crates of 190.
Explanation
To check the divisibility:
1) Divide 570 by 190: 570 ÷ 190 = 3 with a remainder of 0.
2) Since there is a remainder, 570 is not exactly divisible by 190.
Problem 3
A conference room has 950 seats. Is it possible to arrange them in rows of 190 without any seats left over?
No, 950 seats cannot be arranged in rows of 190 perfectly.
Explanation
To determine divisibility:
1) Divide 950 by 190: 950 ÷ 190 = 5 with a remainder of 0.
2) The remainder indicates that 950 is not perfectly divisible by 190.
Problem 4
A charity event raised $1140. Can the total amount be evenly distributed to 190 supporters?
Yes, $1140 can be evenly distributed among 190 supporters.
Explanation
Checking divisibility:
1) Divide 1140 by 190: 1140 ÷ 190 = 6.
2) Since the result is a whole number, the amount is divisible by 190.
Problem 5
A library received a donation of 760 books. Can these books be organized into shelves of 190 books each without any left over?
No, 760 books cannot be arranged perfectly into shelves of 190.
Explanation
To verify:
1) Divide 760 by 190: 760 ÷ 190 = 4 with a remainder of 0.
2) The remainder signifies that 760 is not divisible by 190.
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FAQs on Divisibility Rule of 190
1.What is the divisibility rule for 190?
2.How many numbers between 1 and 1000 are divisible by 190?
3.Is 950 divisible by 190?
4.What if I get 0 after the division?
5.Does the divisibility rule of 190 apply to all integers?
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Important Glossaries for Divisibility Rule of 190
- Divisibility rule: A set of rules used to determine if a number is divisible by another number without performing division.
- Multiples: The result of multiplying a number by an integer. For example, multiples of 190 are 190, 380, 570, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Verification: The process of confirming if the divisibility rule has been correctly applied.
- Remainder: The amount left over after division when one number does not divide the other exactly.
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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.
