189 LearnersLast updated on May 26th, 2025
Divisibility Rule of 188
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 188.
What is the Divisibility Rule of 188?
The divisibility rule for 188 is a method by which we can find out if a number is divisible by 188 or not without using the division method. Check whether 5644 is divisible by 188 with the divisibility rule.
Step 1: Identify if the number is divisible by both 4 and 47 (since 188 = 4 × 47). First, check divisibility by 4: a number is divisible by 4 if the last two digits form a number that is divisible by 4. In 5644, the last two digits are 44, which is divisible by 4.
Step 2: Now check divisibility by 47: There is no straightforward rule for 47, so perform a quick division if necessary to verify.
Step 3: Since 5644 is divisible by both 4 and 47, it is divisible by 188.
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Tips and Tricks for Divisibility Rule of 188
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 188.
- Know the multiples of 188: Memorize the multiples of 188 (188, 376, 564, etc.) to quickly check divisibility. If a number matches one of these, it is divisible by 188.
- Check divisibility by 4 first: If the last two digits of the number form a number divisible by 4, proceed to the next step.
- Use the division method for divisibility by 47: Since 47 has no easy rule, perform division to verify.
- Repeat the checks for large numbers: For large numbers, ensure both conditions (divisibility by 4 and 47) are met.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 188
The divisibility rule of 188 helps us to quickly check if a given number is divisible by 188, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not checking both conditions.
Students should ensure they check for divisibility by both 4 and 47.
Mistake 2
Forgetting the last two digits for divisibility by 4.
Always check if the last two digits form a number divisible by 4.
Mistake 3
Relying on shortcuts for 47.
Use straightforward division to verify divisibility by 47.
Mistake 4
Ignoring large numbers.
Always verify large numbers by ensuring both conditions are satisfied.
Mistake 5
Confusing rules for 188 with those for smaller divisors.
Remember that 188 requires divisibility by both 4 and 47.
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Divisibility Rule of 188 Examples
Problem 1
Is 5644 divisible by 188?
No, 5644 is not divisible by 188.
Explanation
To determine if 5644 is divisible by 188, use the following steps:
1) Divide the number by 188: 5644 ÷ 188 = 30.02.
2) Since the result is not an integer, 5644 is not divisible by 188.
Problem 2
Check the divisibility of 3760 by 188.
Yes, 3760 is divisible by 188.
Explanation
For 3760, check the divisibility by dividing:
1) Divide the number by 188: 3760 ÷ 188 = 20.
2) Since the result is an integer, 3760 is divisible by 188.
Problem 3
Is -752 divisible by 188?
Yes, -752 is divisible by 188.
Explanation
When dealing with a negative number, remove the negative sign and divide:
1) 752 ÷ 188 = 4.
2) The result is an integer, so -752 is divisible by 188.
Problem 4
Can 940 be divisible by 188?
No, 940 is not divisible by 188.
Explanation
To determine if 940 is divisible by 188, divide the number:
1) 940 ÷ 188 = 5.00.
2) Since the result is not an integer, 940 is not divisible by 188.
Problem 5
Check the divisibility of 1504 by 188.
Yes, 1504 is divisible by 188.
Explanation
For 1504, check divisibility by dividing:
1) 1504 188 = 8.
2) The result is an integer, so 1504 is divisible by 188.
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FAQs on Divisibility Rule of 188
1.What is the divisibility rule for 188?
2. How many numbers are there between 1 and 1000 that are divisible by 188?
3.Is 376 divisible by 188?
4.What if I get a non-integer after dividing by 47?
5.Does the divisibility rule of 188 apply to all integers?
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Important Glossaries for Divisibility Rule of 188
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number without performing full division.
- Multiples: Numbers obtained by multiplying a given number by an integer. For example, multiples of 188 are 188, 376, 564, 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.
- Subtraction: The mathematical process of taking one quantity away from another.
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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.
