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137 LearnersLast updated on February 17th, 2025
Divisibility Rule of 834
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 834.
What is the Divisibility Rule of 834?
The divisibility rule for 834 is a method by which we can find out if a number is divisible by 834 or not without using the division method. Check whether 2502 is divisible by 834 with the divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 139 (since 834 = 2 × 3 × 139).
Step 2: Divisibility by 2: The last digit should be even. Here, 2 is even.
Step 3: Divisibility by 3: The sum of the digits should be divisible by 3. 2 + 5 + 0 + 2 = 9, which is divisible by 3.
Step 4: Divisibility by 139: Use long division or a calculator, as no simple rule exists for 139. Verify if 2502 divided by 139 gives a whole number.
Step 5: Since 2502 is divisible by 2, 3, and 139, it is divisible by 834.
Tips and Tricks for Divisibility Rule of 834
Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 834.
Know the factors:
Memorize the factors of 834, i.e., 2, 3, and 139, to quickly check divisibility. The number must be divisible by each factor.
Use a calculator:
For larger numbers, use a calculator to check divisibility by 139.
Practice with smaller numbers:
Start with smaller numbers to become familiar with the process before attempting larger numbers.
Use the division method to verify:
You can use the division method as a way to verify and cross-check your results. This will help you confirm your understanding
Common Mistakes and How to Avoid Them in Divisibility Rule of 834
The divisibility rule of 834 helps us quickly check if a given number is divisible by 834, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors.
Ensure the number is divisible by 2, 3, and 139.
Divisibility Rule of 834 Examples
Problem 1
Is the number of pages in a 1251-page book divisible by 834?
No, 1251 is not divisible by 834.
Explanation
To check if 1251 is divisible by 834, apply the steps:
1) Check if 1251 divided by 834 gives a whole number.
2) 1251 ÷ 834 ≈ 1.5, which is not a whole number.
Therefore, 1251 is not divisible by 834.
Problem 2
A factory produces 2502 gadgets in a month. Can the gadgets be evenly distributed into boxes of 834 gadgets each?
Yes, 2502 is divisible by 834.
Explanation
To determine if 2502 is divisible by 834:
1) Divide the total gadgets by the number of gadgets per box.
2) 2502 ÷ 834 = 3, which is a whole number.
Therefore, 2502 can be evenly distributed into boxes of 834 gadgets.
Problem 3
A warehouse has 3340 units of a product. Is it possible to stack them in piles of 834 units each without leftovers?
No, 3340 is not divisible by 834.
Explanation
To check divisibility of 3340 by 834:
1) Divide 3340 by 834.
2) 3340 ÷ 834 ≈ 4.005, which is not a whole number.
Thus, 3340 cannot be stacked into piles of 834 units each without leftovers
Problem 4
A concert hall has 1668 seats. Can the seats be arranged in rows of 834 seats each?
Yes, 1668 is divisible by 834.
Explanation
To verify if 1668 can be divided into rows of 834 seats:
1) Divide 1668 by 834.
2) 1668 ÷ 834 = 2, a whole number.
Therefore, the seats can be arranged in rows of 834 seats each.
Problem 5
A marathon has 4170 participants. Can these participants be grouped into teams of 834 participants each?
No, 4170 is not divisible by 834.
Explanation
To determine if 4170 can be grouped into teams of 834:
1) Divide 4170 by 834.
2) 4170 ÷ 834 ≈ 5.004, not a whole number.
Hence, 4170 participants cannot be evenly grouped into teams of 834.
FAQs on Divisibility Rule of 834
1.What is the divisibility rule for 834?
2.How many numbers are there between 1 and 1000 that are divisible by 834?
3. Is 1668 divisible by 834?
4.What if I get a remainder when checking divisibility by 139?
5.Does the divisibility rule of 834 apply to all integers?
Important Glossaries for Divisibility Rule of 834
- Divisibility Rule: A set of rules used to determine if a number is divisible by another number without performing division.
- Factors: Numbers that can be multiplied together to get another number, such as 2, 3, and 139 for 834.
- Remainder: The amount left over after division when a number does not divide evenly.
- 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.
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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.
