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 243.
The divisibility rule for 243 is a method by which we can find out if a number is divisible by 243 or not without using the division method. Check whether 729 is divisible by 243 with the divisibility rule.
Step 1: Check if the sum of its digits is divisible by 9. Here, 7 + 2 + 9 = 18, which is divisible by 9.
Step 2: Check if the number is divisible by 27. Divide the number by 27. If the quotient is an integer, the number is divisible by 27. In this case, 729 ÷ 27 = 27, which is an integer.
Step 3: As the number satisfies both conditions (divisible by 9 and 27), 729 is divisible by 243.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 243.
Memorize the multiples of 243 (243, 486, 729, etc.) to quickly check divisibility. If the number is a multiple of 243, it is divisible by 243.
If the sum of the digits is divisible by 9, proceed to check divisibility by 27 to confirm divisibility by 243.
Students should keep repeating the divisibility process until they reach a number that clearly satisfies both conditions for divisibility by 243.
Students can use the division method as a way to verify and cross-check their results. This will help them to verify and also learn.
The divisibility rule of 243 helps us quickly check if a given number is divisible by 243, but common mistakes like calculation errors lead to incorrect calculations. Here we will understand some common mistakes to avoid.
Is 729 divisible by 243?
Yes, 729 is divisible by 243.
We check divisibility by dividing directly since 243 is a factor of powers of 3.
1) Divide 729 by 243.
2) 729 ÷ 243 = 3, which is an integer.
3) Therefore, 729 is divisible by 243.
Check the divisibility rule of 243 for 2187.
Yes, 2187 is divisible by 243.
We will check if 2187 is a power of 3, since 243 is 3^5.
1) Divide 2187 by 243.
2) 2187 ÷ 243 = 9, which is also a power of 3 (3^2).
3) Therefore, 2187 is divisible by 243.
Is 486 divisible by 243?
Yes, 486 is divisible by 243.
We can determine this by checking if the number is a multiple of 243.
1) Divide 486 by 243.
2) 486 ÷ 243 = 2, which is an integer.
3) Therefore, 486 is divisible by 243.
Can 1000 be divisible by 243 following the divisibility rule?
No, 1000 is not divisible by 243.
To verify divisibility by 243, divide the number by 243.
1) Divide 1000 by 243.
2) 1000 ÷ 243 ≈ 4.115, which is not an integer.
3) Therefore, 1000 is not divisible by 243.
Check the divisibility rule of 243 for 1458.
Yes, 1458 is divisible by 243.
Divide to check if 1458 is a multiple of 243.
1) Divide 1458 by 243.
2) 1458 ÷ 243 = 6, which is an integer.
3) Therefore, 1458 is divisible by 243.
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.