190 LearnersLast updated on May 26th, 2025
Divisibility Rule of 746
The divisibility rule is a way to determine whether a number is divisible by another number without performing the actual division. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting items. In this topic, we will learn about the divisibility rule of 746.
What is the Divisibility Rule of 746?
The divisibility rule for 746 is a method by which we can determine if a number is divisible by 746 without using the division method. Let's check whether 1492 is divisible by 746 using the divisibility rule.
Step 1: Multiply the last digit of the number by 6. In 1492, the last digit is 2, so multiply it by 6. 2 × 6 = 12.
Step 2: Add the result from Step 1 to the remaining digits, excluding the last digit. That is, 149 + 12 = 161.
Step 3: If the result from step 2 is a multiple of 746, then the number is divisible by 746. Since 161 is not a multiple of 746, 1492 is not divisible by 746.
Tips and Tricks for Divisibility Rule of 746
Learning the divisibility rule will help kids master division. Let’s explore a few tips and tricks for the divisibility rule of 746.
Know the multiples of 746:
Memorize the multiples of 746 (746, 1492, 2238, etc.) to quickly check divisibility. If the result from addition is a multiple of 746, then the number is divisible by 746.
Negative numbers:
If the result obtained after addition is negative, treat it as positive for checking divisibility.
Repeat the process for large numbers:
Continue the divisibility process until you reach a smaller number that is known to be divisible by 746.
Use the division method to verify:
Use division to verify and cross-check results. This helps confirm the calculation and enhances learning.
Common Mistakes and How to Avoid Them in Divisibility Rule of 746
The divisibility rule for 746 helps us quickly check if a given number is divisible by 746, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Ensure you multiply the last digit by 6 and then add the result to the remaining digits excluding the last digit.
Mistake 2
Including the last digit in the addition incorrectly.
Exclude the last digit while adding and include all the remaining digits.
Mistake 3
Exclude the last digit while adding and include all the remaining digits.
If the result after addition is still large, repeat the process to obtain a smaller number that is divisible by 746.
Mistake 4
Not considering negative values.
Treat negative results as positive when checking divisibility.
Mistake 5
Confusing the steps.
Practice regularly to avoid confusing the steps.
Divisibility Rule of 746 Examples
Problem 1
Is 1492 divisible by 746?
Yes, 1492 is divisible by 746.
Explanation
To check if 1492 is divisible by 746, follow these steps:
1) Divide 1492 by 746, which results in 2 exactly.
2) Since the division yields an integer with no remainder, 1492 is divisible by 746.
Problem 2
Check the divisibility rule of 746 for 2984.
Yes, 2984 is divisible by 746.
Explanation
To verify divisibility by 746:
1) Divide 2984 by 746, which results in 4 exactly.
2) Since the division is exact with no remainder, 2984 is divisible by 746.
Problem 3
Is -2238 divisible by 746?
Yes, -2238 is divisible by 746.
Explanation
For a negative number like -2238, ignore the negative sign and check divisibility:
1) Divide 2238 by 746, which results in 3 exactly.
2) Since the division is exact with no remainder, -2238 is divisible by 746 when considering only the magnitude.
Problem 4
Can 1500 be divisible by 746 following the divisibility rule?
No, 1500 isn't divisible by 746.
Explanation
To check if 1500 is divisible by 746:
1) Divide 1500 by 746, which results in approximately 2.0107.
2) Since the result is not an integer, 1500 is not divisible by 746.
Problem 5
Check the divisibility rule of 746 for 4476.
Yes, 4476 is divisible by 746.
Explanation
To determine if 4476 is divisible by 746:
1) Divide 4476 by 746, which results in 6 exactly.
2) Since the result is an integer with no remainder, 4476 is divisible by 746.
FAQs on Divisibility Rule of 746
1.What is the divisibility rule for 746?
2.How many numbers are there between 1 and 3000 that are divisible by 746?
3.Is 1492 divisible by 746?
4.What if I get 0 after adding?
5.Does the divisibility rule of 746 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 746?
7.What are some fun ways kids in United States can practice Divisibility Rule of 746 with numbers?
8.What role do numbers and Divisibility Rule of 746 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 746 skills?
Important Glossary for Divisibility Rule of 746
- Divisibility rule: A set of guidelines to determine if a number is divisible by another number without performing division.
- Multiples: The result obtained from multiplying a number by an integer. For example, multiples of 746 are 746, 1492, 2238, etc.
- Integer: Whole numbers, including negative numbers and zero.
- Addition: The process of combining two or more numbers to find their total.
- Verification: The process of using additional methods, such as division, to confirm the accuracy of a calculation.
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About BrightChamps in United States
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.
