191 LearnersLast updated on May 26th, 2025
Divisibility Rule of 46
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 46.
What is the Divisibility Rule of 46?
The divisibility rule for 46 is a method by which we can find out if a number is divisible by 46 or not without using the division method. Check whether 1840 is divisible by 46 with the divisibility rule.
Step 1: Check if the number is divisible by both 2 and 23 (since 46 = 2 × 23).
Step 2: For divisibility by 2, the number must be even. Since 1840 ends in 0, it is divisible by 2.
Step 3: For divisibility by 23, take the alternating sum of digits. Here, 1 - 8 + 4 - 0 = -3. Since -3 is not a multiple of 23, 1840 is not divisible by 23.
Step 4: Since 1840 is not divisible by 23, it is not divisible by 46.
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Tips and Tricks for Divisibility Rule of 46
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 46.
- Know the multiples of 46: Memorize the multiples of 46 (46, 92, 138, 184, 230, etc.) to quickly check divisibility.
- Check divisibility by 2 and 23 separately: For 46, verify divisibility by both 2 and 23. If both conditions are satisfied, the number is divisible by 46.
- 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 46
The divisibility rule of 46 helps us to quickly check if the given number is divisible by 46, 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 checking both conditions.
Students should ensure they check for divisibility by both 2 and 23.
Mistake 2
Confusing the steps for divisibility by 23.
For 23, use the alternating sum of digits method correctly.
Mistake 3
Not considering the number is even for divisibility by 2.
Ensure the number is even, as a necessary condition for divisibility by 46.
Mistake 4
Skipping the verification step.
Always verify using the division method to confirm the results.
Mistake 5
Not considering negative values.
Students often ignore negative values, thinking divisibility rules don't apply to them. Divisibility rules apply to negative values as well, so consider negative values as positives when checking divisibility.
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Divisibility Rule of 46 Examples
Problem 1
Is 276 divisible by 46?
Yes, 276 is divisible by 46.
Explanation
To determine if 276 is divisible by 46, we can perform the following check:
1) Divide 276 by 46: 276 ÷ 46 = 6.
2) Since the division results in a whole number without a remainder, 276 is divisible by 46.
Problem 2
Check the divisibility rule of 46 for 368.
Yes, 368 is divisible by 46.
Explanation
To check if 368 is divisible by 46, we do the following:
1) Divide 368 by 46: 368 ÷ 46 = 8.
2) The result is a whole number with no remainder, so 368 is divisible by 46.
Problem 3
Is 184 not divisible by 46?
No, 184 is divisible by 46.
Explanation
To verify if 184 is divisible by 46:
1) Divide 184 by 46: 184 ÷ 46 = 4.
2) The division yields a whole number, indicating that 184 is divisible by 46.
Problem 4
Can 322 be divisible by 46 following the divisibility rule?
No, 322 isn't divisible by 46.
Explanation
To check if 322 is divisible by 46:
1) Divide 322 by 46: 322 ÷ 46 ≈ 7.0 (with a remainder).
2) The division does not result in a whole number. Therefore, 322 is not divisible by 46.
Problem 5
Check the divisibility rule of 46 for 506.
Yes, 506 is divisible by 46.
Explanation
To determine if 506 is divisible by 46:
1) Divide 506 by 46: 506 ÷ 46 = 11.
2) The division results in a whole number, which means 506 is divisible by 46.
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FAQs on Divisibility Rule of 46
1.What is the divisibility rule for 46?
2.How many numbers are there between 1 and 100 that are divisible by 46?
3.Is 92 divisible by 46?
4.What if I get a negative result or zero after checking divisibility by 23?
5.Does the divisibility rule of 46 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 46?
7.What are some fun ways kids in United States can practice Divisibility Rule of 46 with numbers?
8.What role do numbers and Divisibility Rule of 46 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 46 skills?
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Important Glossaries for Divisibility Rule of 46
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 46 are 46, 92, 138, etc.
- Even numbers: Numbers divisible by 2, ending in 0, 2, 4, 6, or 8.
- Alternating sum: A method involving alternating subtraction and addition of a number's digits to check divisibility.
- Verification: The process of confirming results, often by performing the actual division.
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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.
