Divisibility Rule of 565

The divisibility rule for 565 is a method by which we can find out if a number is divisible by 565 or not without using the division method. Check whether 1130 is divisible by 565 with the divisibility rule.

Step 1: Divide the number into two groups, the last three digits and the remaining part. Here, in 1130, the groups are 130 and 1.

Step 2: Check if the last group (130) is divisible by 5, as 565 is a multiple of 5. The number ends in 0, so it is divisible by 5.

Step 3: Check if the entire number (1130) is divisible by other factors of 565, which are 113. Divide 1130 by 113 to see if it is an integer. Since 1130 ÷ 113 = 10, it is divisible.

Learn divisibility rules to help master division. Let’s learn a few tips and tricks for the divisibility rule of 565.

• Know the factors of 565: Memorize the factors of 565 (5, 113) to quickly check divisibility.

• Use the divisibility by 5 rule first: Check if the last digit of the number is 0 or 5 to determine if it is divisible by 5.

• Repeat the process for large numbers: For larger numbers, repeatedly check divisibility by 5 and 113 until you confirm divisibility by 565.
  
  For example: Check if 67850 is divisible by 565 using the divisibility test. 
  
  First, check divisibility by 5. The last digit is 0, so it is divisible by 5.
  
  Next, check divisibility by 113. Divide 67850 by 113 to see if it is an integer. Since 67850 ÷ 113 = 600, it is divisible.

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

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

• Factors: Numbers that divide another number completely without leaving a remainder. For example, factors of 565 are 5 and 113.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

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

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 565 are 565, 1130, 1695, etc.