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.

• Know the factors of 564: Memorize that 564 = 2 × 3 × 47 to quickly check divisibility.

• Use the divisibility rules of factors: Use the rules for 2, 3, and 47 to determine divisibility by 564.

• Repeat the process for large numbers: Keep using the divisibility rules for each factor until you verify divisibility by 564.

• Use the division method to verify: You can use the division method as a way to verify and cross-check your results.

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number.

• Factors: Numbers that are multiplied together to get another number. For example, the factors of 564 are 2, 3, and 47.

• Even number: A number divisible by 2 without a remainder.

• Integer: A whole number that can be positive, negative, or zero.

• Sum of digits: The total obtained by adding all the digits of a number together.