Divisibility Rule of 562

The divisibility rule for 562 is a method by which we can determine if a number is divisible by 562 without using the division method. Check whether 1124 is divisible by 562 with the divisibility rule.

Step 1: Check if the number is at least 3 digits long, since 562 is a 3-digit number. If it is, proceed to Step 2.

Step 2: Divide the number into two parts - the last three digits and the rest of the number. In 1124, the last three digits are 124, and the remaining part is 1.

Step 3: Calculate whether both parts are divisible by 2, 5, and 281 (since 562 = 2 × 281). If they are, then the entire number is divisible by 562. 
 

Example: Check if 1686 is divisible by 562 using the divisibility test.

Divide the number into two parts: last three digits are 686, and the remaining is 1.

Check divisibility by 2, 5, and 281 for both parts. Since 686 is not divisible by 281, 1686 is not divisible by 562.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 562.

• Know the factors of 562: Memorize the factors of 562 (2, 281) to quickly check divisibility. If both parts of the number are divisible by these factors, the entire number is divisible by 562.

• Decompose the number: Break down large numbers into smaller parts and check divisibility separately by 2 and 281.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is easily checked for divisibility by 562.

• Use the division method to verify: Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number without direct division.

• Factors: Numbers that divide another number completely without leaving a remainder. For example, 2 and 281 are factors of 562.

• Integers: Whole numbers including negative numbers, zero, and positive numbers.

• Subtraction: The process of finding the difference between two numbers.

• Division: The process of determining how many times one number is contained within another.