Last updated on May 26th, 2025
The divisibility rule is a way to determine 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 items. In this topic, we will learn about the divisibility rule of 303.
The divisibility rule for 303 is a method by which we can determine if a number is divisible by 303 without using the division method. Check whether 60606 is divisible by 303 using the divisibility rule.
Step 1: Split the number into three parts from the right. If the number of digits is not a multiple of three, add leading zeros. Here in 60606, split it as 060, 606.
Step 2: Add these parts together. 060 + 606 = 666.
Step 3: If the sum is a multiple of 303, then the number is divisible by 303. Since 666 is not a multiple of 303, 60606 is not divisible by 303.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 303.
Memorize the multiples of 303 (303, 606, 909, 1212…etc.) to quickly check divisibility. If the sum of the parts is a multiple of 303, then the number is divisible by 303.
Students should keep repeating the divisibility process until they reach a small number that is divisible by 303. For example: Check if 90909 is divisible by 303 using the divisibility test. Split the number into three parts, 090, 909. Add these parts together, 090 + 909 = 999. Since 999 is divisible by 303, 90909 is divisible by 303.
Students can use the division method as a way to verify and crosscheck their results. This will help them verify and also learn.
The divisibility rule of 303 helps us quickly check if a given number is divisible by 303, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you avoid them.
Is 90909 divisible by 303?
Yes, 90909 is divisible by 303.
To determine if 90909 is divisible by 303, we apply the divisibility rule.
1) Sum the digits of the number: 9 + 0 + 9 + 0 + 9 = 27.
2) Check if the sum, 27, is divisible by 3 (since 27 is divisible by 3) and if the last two digits, 09, are divisible by 3.
3) Both conditions are satisfied, so 90909 is divisible by 303.
Check if 60606 follows the divisibility rule of 303.
Yes, 60606 is divisible by 303.
To check the divisibility of 60606 by 303:
1) Sum the digits of the number: 6 + 0 + 6 + 0 + 6 = 18.
2) Verify that 18 is divisible by 3 and that the last two digits, 06, are divisible by 3.
3) Both conditions are met, confirming that 60606 is divisible by 303.
Is 12345 divisible by 303?
No, 12345 is not divisible by 303.
To determine if 12345 is divisible by 303:
1) Sum the digits: 1 + 2 + 3 + 4 + 5 = 15.
2) Check if 15 is divisible by 3 (it is), but the last two digits, 45, must also be divisible by 3, which they are not.
3) Since the second condition fails, 12345 is not divisible by 303.
Can -6066 be divisible by 303 using the divisibility rule?
Yes, -6066 is divisible by 303.
To check the divisibility of -6066 by 303:
1) Ignore the negative sign and sum the digits: 6 + 0 + 6 + 6 = 18.
2) Verify 18 is divisible by 3 and that the last two digits, 66, are divisible by 3.
3) Both conditions are satisfied, so -6066 is divisible by 303.
Check the divisibility of 123123 by 303.
Yes, 123123 is divisible by 303.
To verify if 123123 is divisible by 303:
1) Sum the digits: 1 + 2 + 3 + 1 + 2 + 3 = 12.
2) Check that 12 is divisible by 3 and the last two digits, 23, are divisible by 3 (they are not).
3) Because the second condition fails, upon revisiting, the number was miscalculated and thus 123123 is not divisible by 303.
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.