181 LearnersLast updated on May 26th, 2025
Divisibility Rule of 208
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 208.
What is the Divisibility Rule of 208?
The divisibility rule for 208 is a method by which we can find out if a number is divisible by 208 or not without using the division method. Check whether 2080 is divisible by 208 with the divisibility rule.
Step 1: Check if the number ends with the digits 080, as 208 is a multiple of 10.
Step 2: Since 080 is a multiple of 208, the number 2080 is divisible by 208.
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Tips and Tricks for Divisibility Rule of 208
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 208.
1. Know the multiples of 208:
Memorize the multiples of 208 (208, 416, 624, 832, 1040…etc.) to quickly check the divisibility. If the last three digits of the number form a multiple of 208, then the number is divisible by 208.
2. 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 208
The divisibility rule of 208 helps us quickly check if the given number is divisible by 208, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not identifying the last three digits correctly.
Ensure that you are checking the last three digits of the number to see if they form a multiple of 208.
Mistake 2
Not verifying with the division method.
Even if you believe a number is divisible by 208, use the division method to confirm your findings.
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Divisibility Rule of 208 Examples
Problem 1
Is the number of pages in a book, 1248, divisible by 208?
Yes, 1248 is divisible by 208.
Explanation
To check if 1248 is divisible by 208, we use the divisibility rule specific to 208:
1) Divide the number by 208 directly, 1248 ÷ 208 = 6.
2) Check if the quotient is an integer. Since the result is a whole number, 1248 is divisible by 208.
Problem 2
A factory produces 2080 widgets per batch. Is this total divisible by 208?
Yes, 2080 is divisible by 208.
Explanation
To determine if 2080 is divisible by 208:
1) Divide the number by 208 directly, 2080 ÷ 208 = 10.
2) Since the quotient is a whole number, 2080 is divisible by 208.
Problem 3
A shipment of 832 items is being organized into boxes, each containing 208 items. Can the shipment be evenly divided?
Yes, 832 is divisible by 208.
Explanation
To check divisibility:
1) Divide the number by 208 directly, 832 ÷ 208 = 4.
2) The quotient is an integer, so 832 is evenly divisible by 208.
Problem 4
A theater has 1040 seats and is considering arranging them into sections of 208 seats each. Is this possible?
Yes, 1040 is divisible by 208.
Explanation
To verify:
1) Divide the number by 208 directly, 1040 ÷ 208 = 5.
2) Since the result is a whole number, 1040 can be divided into sections of 208 seats each.
Problem 5
A gardener has 936 plants to arrange into rows of 208 plants each. Is it possible to arrange them evenly?
No, 936 is not divisible by 208.
Explanation
To determine divisibility:
1) Divide the number by 208 directly, 936 ÷ 208 ≈ 4.5.
2) Since the quotient is not a whole number, 936 is not evenly divisible by 208.
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FAQs on Divisibility Rule of 208
1.What is the divisibility rule for 208?
2.How many numbers are there between 1 and 1000 that are divisible by 208?
3. Is 624 divisible by 208?
4.What if the last three digits form 000?
5.Does the divisibility rule of 208 apply to all integers?
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Important Glossary for Divisibility Rule of 208
- Divisibility rule: A set of guidelines used to determine whether a number is divisible by another number without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 208 are 208, 416, 624, 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.
- Verification: The process of confirming the accuracy of a calculation or result.
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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.
