Divisibility Rule of 35

The divisibility rule for 35 is a method by which we can find out if a number is divisible by 35 or not without using the division method. Check whether 2450 is divisible by 35 with the divisibility rule.  

Step 1: Check the divisibility of the number by 5. The number should end in 0 or 5. Here, 2450 ends in 0.  

Step 2: Check the divisibility of the number by 7. Use the rule for 7: double the last digit and subtract from the rest. For 245, double 0 is 0, and 245−0=245. Double 5 is 10, and 24−10=14, which is a multiple of 7.  

Step 3: Since 2450 is divisible by both 5 and 7, it is divisible by 35.

Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 35.  

• Know the multiples of 35:  Memorize the multiples of 35 (35, 70, 105, 140, 175, etc.) to quickly check divisibility. If both divisibility rules for 5 and 7 are satisfied, then the number is divisible by 35.  
   
• Use the divisibility rules for 5 and 7:  Combining these rules helps verify divisibility by 35. If a number is divisible by both 5 and 7, it’s divisible by 35.  
   
• Repeat the process for large numbers:  For larger numbers, verify divisibility by 5 and 7 separately and ensure both conditions are met.
   
• 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 find out whether a number is divisible by another number or not. For example, a number is divisible by 5 if it ends in 0 or 5.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 35 are 35, 70, 105, 140, etc.
   
• Integer: Integers are numbers that include all the whole numbers, negative numbers, and zero.
   
• Subtraction: Subtraction is a process of finding out the difference between two numbers by reducing one number from another.
   
• Verification: The process of confirming whether a calculated result is accurate or not, using methods such as division.