Divisibility Rule of 395

The divisibility rule for 395 is a method by which we can find out if a number is divisible by 395 or not without using the division method.

Check whether 790 is divisible by 395 using the divisibility rule.  

Step 1: Check if the number is divisible by 5. A number is divisible by 5 if its last digit is 0 or 5. Here, 790 ends in 0, so it is divisible by 5.  

Step 2: Check if the number divided by 5 is divisible by 79. Divide 790 by 5 to get 158. Now check if 158 is divisible by 79.  

Step 3: Since 158 divided by 79 equals 2 (an integer), 158 is divisible by 79. Therefore, 790 is divisible by 395.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 395.

• Break it down: Remember that 395 = 5 × 79. Check divisibility by 5 and then by 79.
   
• Use known multiples: Memorize the multiples of 395 (395, 790, 1185, etc.) to quickly check divisibility.  
• Simplify calculations: After checking divisibility by 5, simplify the number by dividing by 5 before checking for 79.
   
• Use the division method to verify: Students can use the division method to verify and cross-check their results. This helps them confirm and also learn.

• Divisibility rule: A set of rules used to find out whether a number is divisible by another number without performing division.
   
• Multiples: The results obtained by multiplying a number by integers. For example, multiples of 395 are 395, 790, 1185, etc.
   
• Integer: A whole number that can be positive, negative, or zero.
   
• Division: The process of determining how many times one number is contained within another.
   
• Simplification: Reducing a problem to its simplest form to make calculations easier.