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 108.
The divisibility rule for 108 is a method by which we can find out if a number is divisible by 108 or not without using the division method. Check whether 324 is divisible by 108 with the divisibility rule.
Step 1: Check if the number is divisible by 4. The last two digits of 324 are 24, and since 24 is divisible by 4, we move to the next step.
Step 2: Check if the number is divisible by 9. Add the digits of 324: 3 + 2 + 4 = 9. Since 9 is divisible by 9, 324 is divisible by 108.
Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 108.
The divisibility rule of 108 helps us to quickly check if the given number is divisible by 108, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you understand.
A charity event wants to distribute 216 raffle tickets evenly among 2 teams. Is it possible using the divisibility rule of 108?
Yes, 216 is divisible by 108.
To check divisibility by 108, verify divisibility by 2, 3, and 4.
1) Divisibility by 2: The last digit is 6, which is even.
2) Divisibility by 3: Sum of the digits (2 + 1 + 6 = 9) is divisible by 3.
3) Divisibility by 4: The last two digits, 16, are divisible by 4.
Since 216 satisfies divisibility by 2, 3, and 4, it is divisible by 108.
A rectangular garden has a perimeter of 432 meters. Can the length of the garden be 108 meters, using the divisibility rule of 108?
Yes, 432 is divisible by 108.
Check divisibility by 2, 3, and 4.
1) Divisibility by 2: The last digit is 2, which is even.
2) Divisibility by 3: Sum of the digits (4 + 3 + 2 = 9) is divisible by 3.
3) Divisibility by 4: The last two digits, 32, are divisible by 4.
Since 432 meets all criteria, it is divisible by 108.
A box contains 648 chocolates, and you want to pack them into smaller boxes, each holding 108 chocolates. Is this possible using the divisibility rule of 108?
Yes, 648 is divisible by 108.
Verify divisibility by 2, 3, and 4.
1) Divisibility by 2: The last digit is 8, an even number.
2) Divisibility by 3: Sum of the digits (6 + 4 + 8 = 18) is divisible by 3.
3) Divisibility by 4: The last two digits, 48, are divisible by 4.
Thus, 648 is divisible by 108.
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A library has 324 books to arrange in stacks of 108. Can this be done using the divisibility rule of 108?
Yes, 324 is divisible by 108.
Check divisibility by 2, 3, and 4.
1) Divisibility by 2: The last digit is 4, even.
2) Divisibility by 3: Sum of the digits (3 + 2 + 4 = 9) is divisible by 3.
3) Divisibility by 4: The last two digits, 24, are divisible by 4.
Therefore, 324 is divisible by 108.
A festival organizer has 432 flags to distribute evenly among 4 locations. Is it possible using the divisibility rule of 108?
Yes, 432 is divisible by 108.
Verify divisibility by 2, 3, and 4.
1) Divisibility by 2: The last digit is 2, which is even.
2) Divisibility by 3: Sum of the digits (4 + 3 + 2 = 9) is divisible by 3.
3) Divisibility by 4: The last two digits, 32, are divisible by 4.
Since all conditions are satisfied, 432 is divisible by 108.
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.