223 LearnersLast updated on May 26th, 2025
Divisibility Rule of 750
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 750.
What is the Divisibility Rule of 750?
The divisibility rule for 750 is a method by which we can find out if a number is divisible by 750 or not without using the division method.
A number is divisible by 750 if it is divisible by 2, 3, and 5. Check whether 3750 is divisible by 750 with the divisibility rule.
Step 1: Check divisibility by 2. The last digit of 3750 is 0, which is even, so it is divisible by 2.
Step 2: Check divisibility by 3. Add the digits of 3750: 3 + 7 + 5 + 0 = 15. Since 15 is divisible by 3, 3750 is also divisible by 3.
Step 3: Check divisibility by 5. The last digit of 3750 is 0, so it is divisible by 5.
Since 3750 is divisible by 2, 3, and 5, it is divisible by 750.
Tips and Tricks for Divisibility Rule of 750
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 750.
Know the basic divisibility rules:
A number is divisible by 2 if its last digit is even.
A number is divisible by 3 if the sum of its digits is divisible by 3.
A number is divisible by 5 if its last digit is 0 or 5.
Combine divisibility checks:
Since 750 = 2 × 3 × 5 × 5, check for 2, 3, and 5 as explained above.
Repeat the process for large numbers:
For larger numbers, apply the rule to smaller parts or groups of the number if needed.
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 750
The divisibility rule of 750 helps us to quickly check if a given number is divisible by 750, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking all factors.
Ensure you check divisibility by 2, 3, and 5. Missing any factor can lead to incorrect conclusions.
Mistake 2
Confusing the divisibility rules for different factors.
Remember the specific rules for 2, 3, and 5, as they are crucial for determining divisibility by 750.
Mistake 3
Not repeating the process for large numbers.
For large numbers, break them into smaller parts or repeatedly apply the rules.
Mistake 4
Ignoring zero in the last digit.
Remember that a zero in the last digit satisfies divisibility by 5.
Mistake 5
Miscalculating the sum of digits.
Double-check your addition when summing the digits to check divisibility by 3.
Divisibility Rule of 750 Examples
Problem 1
Is 3000 divisible by 750?
Yes, 3000 is divisible by 750.
Explanation
To check the divisibility of 3000 by 750, we need to ensure it meets the conditions for divisibility by both 100 and 75.
1) 3000 ends in two zeros, so it is divisible by 100.
2) The sum of the digits of 3000 is 3 + 0 + 0 + 0 = 3, which is not divisible by 3, but let's check the actual division: 3000 ÷ 750 = 4.
3) Therefore, 3000 is divisible by 750.
Problem 2
Check the divisibility rule of 750 for 3750.
Yes, 3750 is divisible by 750.
Explanation
For checking the divisibility rule of 750 for 3750, ensure it is divisible by 100 and 75.
1) The last two digits of 3750 are 50, which is not divisible by 100, but let's proceed to check divisibility by 75.
2) 3750 ÷ 750 = 5, which is an integer.
3) Therefore, 3750 is divisible by 750.
Problem 3
Is 1500 divisible by 750?
Yes, 1500 is divisible by 750.
Explanation
To check if 1500 is divisible by 750, we need to verify divisibility by both 100 and 75.
1) The last two digits of 1500 are 00, so it is divisible by 100.
2) 1500 ÷ 750 = 2, resulting in an integer.
3) Therefore, 1500 is divisible by 750.
Problem 4
Can 2250 be divisible by 750 following the divisibility rule?
No, 2250 isn't divisible by 750.
Explanation
To check if 2250 is divisible by 750, we verify divisibility by both 100 and 75.
1) The last two digits of 2250 are 50, which is not divisible by 100.
2) Although 2250 ÷ 750 = 3 results in an integer, the rule requires divisibility by 100 as well.
3) Therefore, 2250 is not considered divisible by 750.
Problem 5
Check the divisibility rule of 750 for 6000.
Yes, 6000 is divisible by 750.
Explanation
To check the divisibility rule of 750 for 6000, ensure it is divisible by 100 and 75.
1) The last two digits of 6000 are 00, so it is divisible by 100.
2) 6000 ÷ 750 = 8, resulting in an integer.
3) Therefore, 6000 is divisible by 750.
FAQs on Divisibility Rule of 750
1.What is the divisibility rule for 750?
2.How many numbers are there between 1 and 1000 that are divisible by 750?
3.Is 1500 divisible by 750?
4.What if I get 0 after performing the checks?
5.Does the divisibility rule of 750 apply to all integers?
6.How can children in India use numbers in everyday life to understand Divisibility Rule of 750?
7.What are some fun ways kids in India can practice Divisibility Rule of 750 with numbers?
8.What role do numbers and Divisibility Rule of 750 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Divisibility Rule of 750 skills?
Important Glossaries for Divisibility Rule of 750
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with an even digit.
- Factors: Numbers that divide another number exactly without leaving a remainder. For example, 2, 3, and 5 are factors of 750.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 750 is a multiple of 150.
- Integer: A whole number that can be positive, negative, or zero.
- Sum of digits: The total obtained by adding all the digits of a number. For example, the sum of the digits of 3750 is 15.
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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.
