Divisibility Rule of 765

The divisibility rule for 765 is a method by which we can find out if a number is divisible by 765 without using the division method. Let's check whether 1530 is divisible by 765 using the divisibility rule.
 

Step 1: Verify divisibility by 5. Check if the last digit of the number is 0 or 5. Here in 1530, the last digit is 0, so it is divisible by 5.
 

Step 2: Verify divisibility by 9. Add all the digits of the number. If the sum is a multiple of 9, then the number is divisible by 9. For 1530, 1 + 5 + 3 + 0 = 9, which is a multiple of 9.
 

Step 3: Verify divisibility by 17. Divide the number by 17 and check if it results in an integer. 1530 ÷ 17 = 90, which is an integer.
 

Since 1530 is divisible by 5, 9, and 17, it is divisible by 765.
 

Learning the divisibility rule will help students to master division. Here are some tips and tricks for the divisibility rule of 765:
 

• Know the multiples of 765: Memorize the multiples of 765 (765, 1530, 2295, etc.) to quickly check divisibility.
   
• Use the basic divisibility rules: Understand the individual rules for 5, 9, and 17, as they are components of 765.
   
• Break down large numbers: For large numbers, break down the divisibility process by checking each component (5, 9, and 17) separately.
   
• Use the division method to verify: Students can use the traditional division method to verify and cross-check their results. This will also help them learn.
   

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number without direct division.
   
• Multiple: A number that can be divided by another number without leaving a remainder.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Sum: The result of adding two or more numbers.
   
• Component: An individual part of a larger calculation or process, such as divisibility by 5, 9, or 17 in the rule for 765.