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 divisibility rules for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 564.
The divisibility rule for 564 is a method by which we can find out if a number is divisible by 564 or not without using the division method. Check whether 1128 is divisible by 564 using this divisibility rule.
Step 1: Check if the number is divisible by 2, 3, and 47 (since 564 = 2 × 3 × 47).
Step 2: For divisibility by 2, the number should be even. 1128 is even.
Step 3: For divisibility by 3, the sum of the digits should be divisible by 3. The sum of the digits of 1128 is 1 + 1 + 2 + 8 = 12, which is divisible by 3.
Step 4: For divisibility by 47, you can divide the number by 47 directly or use a known method for checking divisibility by 47. For simplicity, we assume you know how to check divisibility by 47. In this case, 1128 ÷ 47 = 24, which is an integer.
Since 1128 is divisible by 2, 3, and 47, it is divisible by 564.
Learning divisibility rules helps kids master division. Let’s learn a few tips and tricks for the divisibility rule of 564.
The divisibility rule of 564 helps us quickly check if a given number is divisible by 564, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Is 1128 divisible by 564?
Yes, 1128 is divisible by 564.
To check if 1128 is divisible by 564, we can use the divisibility rule.
1) Consider the number 1128 as two parts: 112 and 8.
2) Multiply the last part by 4, 8 × 4 = 32.
3) Add the result to the remaining part, 112 + 32 = 144.
4) Check if the result is a multiple of 564. Since 144 × 3.9167 = 564, 1128 is divisible by 564.
Check the divisibility rule of 564 for 1692.
Yes, 1692 is divisible by 564.
To verify if 1692 is divisible by 564:
1) Divide 1692 into two parts: 169 and 2.
2) Multiply the last part by 4, 2 × 4 = 8.
3) Add the result to the remaining digits, 169 + 8 = 177.
4) Check if the result is a multiple of 564. Since 177 × 3.1864 = 564, 1692 is divisible by 564.
Is 282 divisible by 564?
No, 282 is not divisible by 564.
To determine if 282 is divisible by 564:
1) Divide 282 into parts: 28 and 2.
2) Multiply the last part by 4, 2 × 4 = 8.
3) Add the result to the remaining digits, 28 + 8 = 36.
4) Check if the result is a multiple of 564. Since 36 is not a multiple of 564, 282 is not divisible by 564.
Can 2256 be divisible by 564 following the divisibility rule?
Yes, 2256 is divisible by 564.
To check the divisibility of 2256 by 564:
1) Divide 2256 into two parts: 225 and 6.
2) Multiply the last part by 4, 6 × 4 = 24.
3) Add the result to the remaining digits, 225 + 24 = 249.
4) Check if the result is a multiple of 564. Since 249 × 2.2653 = 564, 2256 is divisible by 564.
Check the divisibility rule of 564 for 4512.
Yes, 4512 is divisible by 564.
To confirm if 4512 is divisible by 564:
1) Divide 4512 into two parts: 451 and 2.
2) Multiply the last part by 4, 2 × 4 = 8.
3) Add the result to the remaining digits, 451 + 8 = 459.
4) Check if the result is a multiple of 564. Since 459 × 1.2283 = 564, 4512 is divisible by 564.
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.