Divisibility Rule of 175

The divisibility rule for 175 is a method by which we can find out if a number is divisible by 175 or not without using the division method. Check whether 19250 is divisible by 175 with the divisibility rule.
 

Step 1: Check if the number is divisible by both 25 and 7. A number is divisible by 175 if it is divisible by both 25 and 7.
 

Step 2: To check divisibility by 25, ensure the last two digits of the number form a number that is divisible by 25. Here, the last two digits are 50, which is divisible by 25.
 

Step 3: To check divisibility by 7, follow the divisibility rule for 7: Multiply the last digit by 2, subtract from the rest of the number, and check if the result is divisible by 7. For 1925 (excluding the last zero to test just 1925), multiply 5 by 2 to get 10, subtract from 192 to get 182. 182 is divisible by 7.
 

Since 19250 passes both checks, it is divisible by 175.
 

Learn divisibility rules to master division. Let’s learn a few tips and tricks for the divisibility rule of 175.
 

• Know the multiples of 175: Memorize multiples of 175 (175, 350, 525, etc.) to quickly check divisibility. If the final number is a multiple of 175, then the original number is divisible by 175.
   
• Check divisibility by 25: The last two digits of the number should form a number that is divisible by 25.
   
• Repeat the process for large numbers: For larger numbers, check divisibility by 25 and 7 separately and then combine your results.
   
• Use the division method to verify: Use the division method as a way to verify and crosscheck your results. This helps to verify and also learn.
   

• Divisibility rule: A set of rules used to determine if a number is divisible by another without performing division.
   
• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 175 are 175, 350, 525, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Subtraction: The process of finding the difference between two numbers by reducing one from the other.
   
• Divisible: A number is divisible by another if it can be divided without leaving a remainder.