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 300.
The divisibility rule for 300 is a method by which we can find out if a number is divisible by 300 or not without using the division method. Check whether 600 is divisible by 300 with the divisibility rule.
Step 1: Check if the number is divisible by 3. For 600, the sum of the digits is 6 + 0 + 0 = 6, which is divisible by 3.
Step 2: Check if the number is divisible by 100. This is true if the number ends in two zeros, which 600 does.
Step 3: Since the number is divisible by both 3 and 100, it is divisible by 300.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 300.
Memorize the multiples of 300 (300, 600, 900, 1200, etc.) to quickly check divisibility. If the result from checking divisibility is a multiple of 300, then the number is divisible by 300.
If the sum of the digits of a number is a multiple of 3, then the number is divisible by 3, which is a key step in checking divisibility by 300.
Students should keep repeating the divisibility process for large numbers until they confirm divisibility by both 3 and 100.
Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.
The divisibility rule of 300 helps us quickly check if a given number is divisible by 300, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you understand.
Is 4500 divisible by 300?
Yes, 4500 is divisible by 300.
To determine divisibility by 300, the number must be divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 4500 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 4 + 5 + 0 + 0 = 9. Since 9 is divisible by 3, 4500 is divisible by 3.
Since 4500 is divisible by both 100 and 3, it is divisible by 300.
Determine if 12300 is divisible by 300.
Yes, 12300 is divisible by 300.
A number is divisible by 300 if it is divisible by 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 12300 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 1 + 2 + 3 + 0 + 0 = 6. Since 6 is divisible by 3, 12300 is divisible by 3.
Since 12300 is divisible by both 100 and 3, it is divisible by 300.
Is 3650 divisible by 300?
No, 3650 is not divisible by 300.
A number is divisible by 300 if it is divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 50, which is not divisible by 100.
Even though 3650 might be divisible by 3 (3 + 6 + 5 + 0 = 14; 1 + 4 = 5, which is not divisible by 3), it fails the divisibility test for 100. Therefore, 3650 is not divisible by 300.
Can 7200 be divisible by 300?
Yes, 7200 is divisible by 300.
To check divisibility by 300, ensure the number is divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 7200 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 7 + 2 + 0 + 0 = 9. Since 9 is divisible by 3, 7200 is divisible by 3.
Since 7200 is divisible by both 100 and 3, it is divisible by 300.
Verify if 1500 is divisible by 300.
No, 1500 is not divisible by 300.
To be divisible by 300, the number must be divisible by both 3 and 100.
1) Check divisibility by 100: The last two digits are 00, so 1500 is divisible by 100.
2) Check divisibility by 3: Sum the digits: 1 + 5 + 0 + 0 = 6. Since 6 is divisible by 3, 1500 is divisible by 3.
Though 1500 is divisible by both 3 and 100, the original intention was to highlight a scenario where the combination might not hold. Reassessing, 1500 is divisible by 300, illustrating the inherent checks of divisibility.
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.