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 27.
The divisibility rule for 27 is a method by which we can find out if a number is divisible by 27 or not without using the division method. Check whether 486 is divisible by 27 with the divisibility rule.
Step 1: Find the sum of the digits of the number. Here in 486, the sum is 4+8+6=18.
Step 2: Check if the sum obtained in Step 1 is divisible by 9. If it is, multiply the sum by 3 to check for divisibility by 27. Here, 18 is divisible by 9 (since 18/9=2), and 18 multiplied by 3 is 54, which is not divisible by 27. Therefore, 486 is not divisible by 27.
Learning the divisibility rule will help kids to master the division. Let’s learn a few tips and tricks for the divisibility rule of 27.
The divisibility rule of 27 helps us to quickly check if the given number is divisible by 27, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Is 729 divisible by 27?
Yes, 729 is divisible by 27.
To check if 729 is divisible by 27, use the divisibility rule for 27:
1) Split the number into groups of three digits from the right: 729.
2) Since it’s a three-digit number, consider the number itself.
3) 729 / 27 = 27, which is an integer. Therefore, 729 is divisible by 27.
Check the divisibility rule of 27 for 1458.
Yes, 1458 is divisible by 27.
To determine if 1458 is divisible by 27:
1) Split the number into groups of three digits: 1 and 458.
2) Consider each group. Since 1 is less than 27, focus on 458.
3) Calculate 458 / 27 = 17, which is an integer. Therefore, 1458 is divisible by 27.
Is -2916 divisible by 27?
Yes, -2916 is divisible by 27.
To check if -2916 is divisible by 27, ignore the negative sign:
1) Split the number into groups of three digits: 2 and 916.
2) Consider each group. Since 2 is less than 27, focus on 916.
3) Calculate 916 / 27 = 34, which is an integer. Therefore, 2916 is divisible by 27, and so is -2916.
Can 1234 be divisible by 27 following the divisibility rule?
No, 1234 isn't divisible by 27.
To check if 1234 is divisible by 27:
1) Split the number into groups of three digits: 1 and 234.
2) Consider each group. Since 1 is less than 27, focus on 234.
3) Calculate 234 / 27, which gives approximately 8.67, not an integer.
Therefore, 1234 is not divisible by 27.
Check the divisibility rule of 27 for 5832.
Yes, 5832 is divisible by 27.
To check if 5832 is divisible by 27:
1) Split the number into groups of three digits: 5 and 832.
2) Consider each group. Since 5 is less than 27, focus on 832.
3) Calculate 832 / 27 = 30.81, which rounds up to 31, which is not an integer. There was an error in calculation. Recalculate using 5832 / 27 = 216, which is an integer. Therefore, 5832 is divisible by 27.
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.