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131 LearnersLast updated on February 15th, 2025
Divisibility Rule of 700
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 700.
What is the Divisibility Rule of 700?
The divisibility rule for 700 is a method by which we can find out if a number is divisible by 700 or not without using the division method. Check whether 5600 is divisible by 700 with the divisibility rule.
Step 1: Check the last three digits of the number, here in 5600, the last three digits are 600.
Step 2: Ensure that the last three digits form a number that is divisible by 700, i.e., 600 is not divisible by 700 directly.
Step 3: Since the result is not a multiple of 700, the number 5600 is not divisible by 700. If the last three digits form a number that is a multiple of 700, then the entire number is divisible by 700.
Tips and Tricks for Divisibility Rule of 700
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 700
Know the multiples of 700:
Memorize the multiples of 700 (700, 1400, 2100, 2800, etc.) to quickly check the divisibility. If the last three digits form a multiple of 700, then the number is divisible by 700.
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 700
The divisibility rule of 700 helps us quickly check if the given number is divisible by 700, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid errors.
Mistake 1
Not checking the correct number of digits.
Students should ensure they are considering the last three digits of the number to check divisibility by 700.
Divisibility Rule of 700 Examples
Problem 1
In a factory, a machine produces 560 gadgets per hour. Is the number of gadgets produced in one hour divisible by 700?
No, 560 is not divisible by 700.
Explanation
To check if 560 is divisible by 700, observe the number directly. Since 700 is greater than 560, it is clear that 560 cannot be divisible by 700 as it is smaller.
Problem 2
A shipment contains 1,400 units of a product. Can this number be evenly divided by 700 for packaging purposes?
Yes, 1,400 is divisible by 700.
Explanation
Divide 1,400 by 700. The result is 2, which is an integer, indicating that 1,400 can be evenly divided by 700.
Problem 3
A company has an annual profit of 2,100 dollars. Is this amount divisible by 700?
Yes, 2,100 is divisible by 700.
Explanation
Divide 2,100 by 700. The result is 3, which is an integer, showing that 2,100 can be evenly divided by 700.
Problem 4
A charity event raised 2,450 dollars. Can the funds be divided equally among 700 recipients?
No, 2,450 is not divisible by 700.
Explanation
Divide 2,450 by 700. The result is approximately 3.5, which is not an integer, indicating that 2,450 cannot be evenly divided by 700.
Problem 5
A farmer has 5,600 apples. Can these apples be packed into boxes of 700 each without any remaining?
Yes, 5,600 is divisible by 700.
Explanation
Divide 5,600 by 700. The result is 8, which is an integer, showing that 5,600 can be evenly divided by 700.
FAQs on Divisibility Rule of 700
1.What is the divisibility rule for 700?
2.How many numbers are there between 1 and 10000 that are divisible by 700?
3.Is 2100 divisible by 700?
4.What if the last three digits are 000?
5.Does the divisibility rule of 700 apply to all the integers?
Important Glossaries for Divisibility Rule of 700
- Divisibility Rule: The set of rules used to determine if a number is divisible by another number without performing division.
- Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 700 are 700, 1400, 2100, etc.
- Digits: The individual numbers that make up a larger number.
- Integer: A whole number that can be positive, negative, or zero.
- Verification: The process of confirming the accuracy of a result, often by performing a calculation or comparison.
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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.
