Divisibility Rule of 595

The divisibility rule for 595 is a method by which we can find out if a number is divisible by 595 or not without using the division method. Let's check whether a number, say 1785, is divisible by 595 using the divisibility rule.
 

Step 1: Check if the number is divisible by 5, 7, and 17, as these are the prime factors of 595. First, ensure the number ends in 0 or 5 to be divisible by 5. In 1785, the last digit is 5, so it is divisible by 5.
 

Step 2: For divisibility by 7, multiply the last digit by 2, i.e., 5×2=10. Subtract 10 from the remaining number, 178-10=168. Since 168 is divisible by 7, 1785 meets this criterion.
 

Step 3: To check for divisibility by 17, subtract 5 times the last digit from the remaining number, i.e., 178-5×5=153. Since 153 is not divisible by 17, 1785 is not divisible by 595.
 

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 595.
 

• Know the multiples of 5, 7, and 17: Memorize the multiples of these numbers to quickly check divisibility. If a number is divisible by all three, it is divisible by 595.
   
• Use negative numbers: If the result from a subtraction step is negative, consider it as positive for checking divisibility.
   
• Repeat the process for large numbers: Keep repeating the divisibility process for each prime factor until the criteria are met.
   
• Use the division method to verify: You can use direct division to verify and cross-check the result.
   

• Divisibility rule: A set of rules used to determine if a number is divisible by another number without direct division.
   
• Prime factor: A prime number that divides another number exactly, with no remainder.
   
• Multiple: The result of multiplying a number by an integer.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one from the other.