Last updated on May 26th, 2025
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.
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.
Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 750.
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.
Since 750 = 2 × 3 × 5 × 5, check for 2, 3, and 5 as explained above.
For larger numbers, apply the rule to smaller parts or groups of the number if needed.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
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.
Is 3000 divisible by 750?
Yes, 3000 is divisible by 750.
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.
Check the divisibility rule of 750 for 3750.
Yes, 3750 is divisible by 750.
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.
Is 1500 divisible by 750?
Yes, 1500 is divisible by 750.
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.
Can 2250 be divisible by 750 following the divisibility rule?
No, 2250 isn't divisible by 750.
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.
Check the divisibility rule of 750 for 6000.
Yes, 6000 is divisible by 750.
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.
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.
: She loves to read number jokes and games.