206 LearnersLast updated on May 26th, 2025
Divisibility Rule of 674
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 674.
What is the Divisibility Rule of 674?
The divisibility rule for 674 is a method by which we can find out if a number is divisible by 674 or not without using the division method.
Check whether 1348 is divisible by 674 with the divisibility rule.
Step 1: Divide the number into two groups of digits. Here in 1348, we divide it as 13 and 48.
Step 2: Multiply the first group by 2 and the second group by 14, and then add the results. 13 × 2 = 26 and 48 × 14 = 672. Add these results: 26 + 672 = 698.
Step 3: If the result (698) is a multiple of 674, then the original number is divisible by 674. Here, since 698 is not a multiple of 674, 1348 is not divisible by 674.
Tips and Tricks for Divisibility Rule of 674
Learning divisibility rules will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 674.
- Know the multiples of 674: Memorize the multiples of 674 (674, 1348, 2022, etc.) to quickly check divisibility. If the result from the addition is a multiple of 674, then the number is divisible by 674.
- Break down larger numbers: For larger numbers, break them into smaller groups following the divisibility rule procedure until you reach a number that is easily checked for divisibility.
- Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 674
The divisibility rule of 674 helps us quickly check if the given number is divisible by 674, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps: dividing the number into digit groups, multiplying the groups, and adding the results to check if it's a multiple of 674.
Mistake 2
Incorrect grouping of digits.
Ensure that the numbers are grouped properly according to the divisibility rule.
Mistake 3
Not considering the multiplication factors.
Students should multiply the first group by 2 and the second group by 14 as per the rule.
Mistake 4
Confusion with additional operations.
Students often confuse the steps or forget them. Practice regularly to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice will help reinforce the steps and minimize errors.
Divisibility Rule of 674 Examples
Problem 1
Is 1348 divisible by 674?
Yes, 1348 is divisible by 674.
Explanation
To check if 1348 is divisible by 674, we can perform the following steps:
1) Remove the last three digits of 1348, leaving 1.
2) Multiply this number (1) by 674, which gives us 674.
3) Subtract this product from 1348, resulting in 674.
4) Since 674 is equal to itself, 1348 is divisible by 674.
Problem 2
Check the divisibility rule of 674 for 2022.
No, 2022 is not divisible by 674.
Explanation
To check if 2022 is divisible by 674, we can follow these steps:
1) Remove the last three digits of 2022, leaving 2.
2) Multiply this number (2) by 674, which gives us 1348.
3) Subtract this product from 2022, resulting in 674.
4) Since 674 is not equal to 0, 2022 is not divisible by 674.
Problem 3
Is 674 divisible by 674?
Yes, 674 is divisible by 674.
Explanation
Since the number is 674 itself, it's always divisible by itself. There's no need for further calculation.
Problem 4
Can 5000 be divisible by 674 following the divisibility rule?
No, 5000 isn't divisible by 674.
Explanation
To check if 5000 is divisible by 674, apply these steps:
1) Remove the last three digits of 5000, leaving 5.
2) Multiply this number (5) by 674, which gives us 3370.
3) Subtract this product from 5000, resulting in 1630.
4) Since 1630 is not equal to 0, 5000 is not divisible by 674.
Problem 5
Check the divisibility rule of 674 for 13480.
Yes, 13480 is divisible by 674.
Explanation
To check the divisibility rule of 674 for 13480, use these steps:
1) Remove the last three digits of 13480, leaving 13.
2) Multiply this number (13) by 674, which gives us 8762.
3) Subtract this product from 13480, resulting in 4718.
4) 4718 is divisible by 674, confirming that 13480 is divisible by 674.
FAQs on Divisibility Rule of 674
1.What is the divisibility rule for 674?
2.How can I verify if a number is divisible by 674?
3.Is 2022 divisible by 674?
4.What if I get 0 after adding the results?
5.Does the divisibility rule of 674 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 674?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 674 with numbers?
8.What role do numbers and Divisibility Rule of 674 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 674 skills?
Important Glossaries for Divisibility Rule of 674
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 674 are 674, 1348, 2022, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Addition: The process of finding the total or sum by combining numbers.
- Factors: Numbers we multiply together to get another number. For example, 2 and 14 are factors used in the divisibility rule of 674.
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About BrightChamps in Philippines
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.
