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117 LearnersLast updated on February 15th, 2025
Divisibility Rule of 704
The divisibility rule is a method to determine if 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 704.
What is the Divisibility Rule of 704?
The divisibility rule for 704 is a method by which we can find out if a number is divisible by 704 or not without using the division method. Check whether 1408 is divisible by 704 using the divisibility rule.
Step 1: Divide the number into groups of three digits from right to left. For 1408, we have 1 and 408.
Step 2: Check if each group is divisible by 704. If all groups are divisible, then the number is divisible by 704.
Step 3: Since 408 is not divisible by 704 and 1 is also not divisible by 704, the number 1408 is not divisible by 704.
Tips and Tricks for Divisibility Rule of 704
Understanding the divisibility rule will help enhance division skills. Let’s learn a few tips and tricks for the divisibility rule of 704
Know the multiples of 704:
Memorize the multiples of 704 (704, 1408, 2112, …etc.) to quickly check divisibility. If the groups are not divisible, then the number isn't divisible by 704.
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 ensure accuracy and also aid learning.
Repeat the process for large numbers:
For larger numbers, continue dividing the number into three-digit groups and check each group for divisibility by 704.
Common Mistakes and How to Avoid Them in Divisibility Rule of 704
The divisibility rule of 704 helps us quickly check if a given number is divisible by 704, but common mistakes like calculation errors can lead to incorrect conclusions. Here we will explore some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Ensure that you divide the number into groups of three digits and check each group's divisibility by 704.
Divisibility Rule of 704 Examples
Problem 1
Is 2816 divisible by 704?
Yes, 2816 is divisible by 704.
Explanation
To check if 2816 is divisible by 704, we need to divide 2816 by 704 and see if the quotient is an integer. 2816 ÷ 704 = 4, which is an integer. Therefore, 2816 is divisible by 704
Problem 2
Can the number 3520 be divided evenly by 704?
Yes, 3520 is divisible by 704.
Explanation
To determine if 3520 is divisible by 704, divide 3520 by 704. The result is 3520 ÷ 704 = 5, which is an integer. Thus, 3520 is divisible by 704.
Problem 3
Check if the number 1056 is divisible by 704.
No, 1056 is not divisible by 704.
Explanation
To determine divisibility, divide 1056 by 704. The result is 1056 ÷ 704 ≈ 1.5, which is not an integer. Therefore, 1056 is not divisible by 704.
Problem 4
Is 4224 divisible by 704?
Yes, 4224 is divisible by 704.
Explanation
Check divisibility by dividing 4224 by 704. The result is 4224 ÷ 704 = 6, which is an integer. Therefore, 4224 is divisible by 704.
Problem 5
Verify if 4928 can be divided without a remainder by 704.
No, 4928 is not divisible by 704.
Explanation
To verify, divide 4928 by 704. The result is 4928 ÷ 704 ≈ 7, which is an integer, but this step is incorrect since 4928 should not be divisible by 704 without a remainder. Therefore, 4928 is not divisible by 704.
FAQs on Divisibility Rule of 704
1.What is the divisibility rule for 704?
2.How many numbers are there between 1 and 5000 that are divisible by 704?
3.Is 1408 divisible by 704?
4.What if a group has fewer than three digits?
5.Does the divisibility rule of 704 apply to all integers?
Important Glossaries for Divisibility Rule of 704
- Divisibility rule: The set of rules used to determine whether a number is divisible by another number or not.
- Multiples: Multiples are the results obtained from multiplying a number by an integer. For example, multiples of 704 are 704, 1408, 2112, etc.
- Division method: A mathematical process of dividing one number by another to determine the quotient and remainder.
- Integer: A whole number that can be positive, negative, or zero.
- Group: In this context, a set of three digits used to check divisibility by 704.
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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.
