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 261.
The divisibility rule for 261 is a method by which we can find out if a number is divisible by 261 or not without using the division method. Check whether 522 is divisible by 261 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add the digits of the number: 5+2+2=9. Since 9 is divisible by 3, proceed to the next step.
Step 2: Check if the number is divisible by 87. Use the divisibility rule for 87, which involves checking divisibility by 3 and 29. We already know 522 is divisible by 3.
Step 3: Now, check if 522 is divisible by 29. Divide 522 by 29. If the result is a whole number, then 522 is divisible by 29. In this case, 522 divided by 29 equals 18, which is a whole number. Therefore, 522 is divisible by 29.
Since 522 is divisible by both 3 and 29, it is divisible by 261.
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 261.
Memorize the multiples of 261 (261, 522, 783, etc.) to quickly check the divisibility. If the result from the division is a multiple of 261, then the number is divisible by 261.
Since 261 is made up of 3 and 87, you can check divisibility by these smaller numbers first.
For larger numbers, break down the divisibility check into smaller steps using the factors of 261.
Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
The divisibility rule of 261 helps us to quickly check if a given number is divisible by 261, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you avoid errors.
Is 783 divisible by 261?
Yes, 783 is divisible by 261.
To check if 783 is divisible by 261, we will use a similar approach for divisibility:
1) Split the number into three equal parts: 7, 8, 3.
2) Add the three parts: 7 + 8 + 3 = 18.
3) Check if 18 is divisible by 3, since 3 is a factor of 261. Yes, 18 is divisible by 3 (3 × 6 = 18).
Since 18 is divisible by 3, 783 is divisible by 261.
Check the divisibility rule of 261 for 1044.
Yes, 1044 is divisible by 261.
For checking the divisibility rule of 261 for 1044:
1) Split the number into parts: 10, 4, 4.
2) Add the parts: 10 + 4 + 4 = 18.
3) Check if 18 is divisible by 3. Yes, 18 is divisible by 3 (3 × 6 = 18).
Since the sum is divisible by 3, 1044 is divisible by 261.
Is -522 divisible by 261?
Yes, -522 is divisible by 261.
To check if -522 is divisible by 261, disregard the negative sign and check the divisibility:
1) Split into parts: 5, 2, 2.
2) Add the parts: 5 + 2 + 2 = 9.
3) Check if 9 is divisible by 3. Yes, 9 is divisible by 3 (3 × 3 = 9).
Since 9 is divisible by 3, -522 is divisible by 261.
Can 1305 be divisible by 261 following the divisibility rule?
No, 1305 is not divisible by 261.
To check divisibility by 261:
1) Split into parts: 13, 0, 5.
2) Add the parts: 13 + 0 + 5 = 18.
3) Check if 18 is divisible by 3. Yes, 18 is divisible by 3.
However, dividing 1305 by 261 gives a non-integer result, so it’s not directly divisible by 261 despite the divisibility of the sum by 3.
Check the divisibility rule of 261 for 1566.
Yes, 1566 is divisible by 261.
For checking divisibility by 261:
1) Split the number into parts: 15, 6, 6.
2) Add the parts: 15 + 6 + 6 = 27.
3) Check if 27 is divisible by 3. Yes, 27 is divisible by 3 (3 × 9 = 27).
Since 27 is divisible by 3, 1566 is divisible by 261.
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.